Current Electricity Class 12 One Shot & PYQs | JEE Physics | JEE 2024/25 | KRD Madam

01:46:28
https://www.youtube.com/watch?v=PW-BseBsDaw

Summary

TLDRThis physics lecture focuses on current electricity, covering fundamental concepts such as Ohm’s Law, the combination of resistors in series and parallel, and the calculation of electric current in terms of different variables like frequency and time period. The instructor explains critical relationships in electrical circuits using laws like Kirchhoff's current and voltage laws, and discusses applications such as the Wheatstone Bridge and Meter Bridge. The lecture further explores concepts like drift velocity, current density, and factors affecting resistance and resistivity, such as material properties and temperature. Practical calculation methods and theoretical frameworks are demonstrated to assist students in understanding electrical resistance, electromotive force, and various laws governing electrical circuits.

Takeaways

  • 🔌 Understanding of Ohm's Law and electrical circuits.
  • 🧲 Discussion on series and parallel resistor combinations.
  • 🧪 Explanation of drift velocity in electric currents.
  • 🔍 Application of Wheatstone Bridge for measuring resistance.
  • 📏 Factors affecting resistance and resistivity.
  • 🧮 Current calculations using Ohm’s and Kirchhoff's laws.
  • 🔧 Use of Meter Bridge in experimental setups.
  • 🌡️ Impact of temperature on resistivity.
  • ➖ Importance of current density in circuit analysis.
  • 🔋 Basics of electromotive force and terminal voltage.

Timeline

  • 00:00:00 - 00:05:00

    The video begins with a welcome introduction to the Vantu Telu channel, hosted by a physics master teacher, K. Maam. The topic of discussion is current electricity, covering important concepts such as Ohm's Law, combinations of resistors, Kirchhoff's Law, the application of Wheatstone and Meter Bridge, and exam preparations. Ma'am emphasizes understanding the lessons despite feeling unwell.

  • 00:05:00 - 00:10:00

    The teacher begins by explaining the concept of electric current flow, stating it flows from high potential to low, emphasizing the importance of potential difference in current electricity. Formulas such as I = Q/T are introduced, detailing the calculation of electric current through charge and time, alongside instantaneous current concepts.

  • 00:10:00 - 00:15:00

    Ma'am elaborates on the calculations of instantaneous current using calculus where the charge is a function of time. She introduces the relationship between charge, number of electrons, and charge of an electron, leading to applications involving circular motion of electrons and frequency-related formulas for electric current.

  • 00:15:00 - 00:20:00

    The discussion continues into deriving various formulas of electric current including those related to angular velocity and time period. The concept of drift velocity is mentioned, forming a foundation to further understand current electricity. Ma'am insists on understanding these concepts to tackle exams efficiently.

  • 00:20:00 - 00:25:00

    The concept of drift velocity is explained, involving the initial and final velocity, relaxation time, and acceleration. Using these, formulas connecting electric field and drift are derived, highlighting the relationship with electric current.

  • 00:25:00 - 00:30:00

    Ma'am explains electric current in terms of drift velocity using the formula I=NEAVD, connecting number of electrons, charge, and area to calculate current. She introduces current density, its basic formula, and its relation to electric field, discussing conductivity and resistivity in the context of Ohm's Law.

  • 00:30:00 - 00:35:00

    The focus shifts to discussing conductivity and resistivity, introducing their reciprocals and their significance in electrical applications. Ma'am explains the thermal properties of materials and how they affect resistivity and resistance, introducing formulas to calculate dependencies on temperature.

  • 00:35:00 - 00:40:00

    An understanding of resistance depending on material properties, as opposed to dimensions, is discussed. Ma'am explains the factors affecting resistance and resistivity, showcasing temperature's role and introducing percentage changes in resistance due to dimensional changes.

  • 00:40:00 - 00:45:00

    The concept of recasting a wire and its impact on resistance is introduced. Formulas showcasing the proportional relationships between resistance and various physical attributes such as length and area are explained. Ma'am gives advice on exam preparations in the context of current electricity.

  • 00:45:00 - 00:50:00

    Ma’am transitions to discussing combinations of resistors in series and parallel configurations, explaining how these configurations affect the total resistance. Detailed mathematical relationships among the resistors in series are provided, followed by discussions on current and potential distribution.

  • 00:50:00 - 00:55:00

    Parallel resistor combinations are introduced, reiterating the uniformity of potential difference across resistors. Ma'am uses these setups to explain how total current is distributed, concluding with the importance of using the right formulas to solve related problems.

  • 00:55:00 - 01:00:00

    Ma'am addresses calculations of electrical power using I²R, V²/R, and VIC formulas, illustrating practical examples with kilowatt-hour conversions. The discussion extends to the understanding of electromotive force (EMF) and terminal voltage, emphasizing the role of internal resistance.

  • 01:00:00 - 01:05:00

    A detailed exploration of cells in series and parallel combinations follows, with emphasis on understanding internal and external resistance during exams. Ma’am uses examples to simplify complex theoretical relationships in circuits, focusing on maximizing current flow conditions.

  • 01:05:00 - 01:10:00

    The conversation continues with a deep dive into parallel cell combinations, highlighting their ease compared to series configurations. Problems related to electricity and associated laws are underscored for exam readiness. The correct use of formulas is emphasized to solve complex circuit issues.

  • 01:10:00 - 01:15:00

    Kirchhoff’s Voltage Law (Loop Law) and Current Law (Junction Law) are introduced, explaining their use in circuit analysis. Techniques for applying these laws to identify currents and loops within a circuit provide foundational strategies for approaching circuit problems.

  • 01:15:00 - 01:20:00

    Illustrations of current direction and potential differences in loops using Kirchhoff’s laws are employed to solve example problems. Particular attention is paid to ensuring the potentials within closed loops conform to the law's requirements, reinforcing theoretical mimicking of real electrical systems.

  • 01:20:00 - 01:25:00

    Problem-solving strategies using Kirchhoff’s laws are enhanced by identifying and drawing circuits, plotting current directions, and mathematically resolving potential sums within loops using sign conventions.

  • 01:25:00 - 01:30:00

    The Wheatstone Bridge and Meter Bridge as applications are briefly introduced, focusing on resistor arrangements and balance conditions. Key formulas for balanced bridge conditions are linked to practical tasks to illustrate their use in real-world circuit problem-solving.

  • 01:30:00 - 01:35:00

    Ma'am elaborates on a practical application of the meter bridge, discussing the arrangement of resistors and resistance measurements. These measurements are explained using formulas derived from theoretical electric concepts, aiming to provide hands-on understanding to students.

  • 01:35:00 - 01:46:28

    The lesson concludes with a discussion of practice questions and study materials provided for student preparation. Ma'am encourages participation in online classes, emphasizing the continuous learning approach through regular assignments and tests to strengthen understanding of electrical waves and currents.

Show more

Mind Map

Video Q&A

  • What is the relationship between current and resistance in a circuit?

    Ohm's Law describes the relationship, stating that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance.

  • How do series and parallel resistor combinations affect total resistance?

    In a series circuit, the total resistance is the sum of all individual resistances, while in a parallel circuit, the total resistance is less than the smallest individual resistor.

  • What is drift velocity?

    Drift velocity is the average velocity attained by charged particles, such as electrons, in a material due to an electric field.

  • What is the Wheatstone Bridge used for?

    The Wheatstone Bridge is used to measure unknown electrical resistances by balancing two legs of a bridge circuit.

  • What are the factors affecting resistance?

    Resistance is affected by the material's length, cross-sectional area, resistivity, and temperature.

  • How is electric current calculated in terms of frequency?

    Electric current can be expressed as the product of charge and frequency, i.e., I = Q * F.

  • What does KCL (Kirchhoff's Current Law) state?

    KCL states that the total current entering a junction must equal the total current leaving the junction.

  • What is the importance of the KVL (Kirchhoff's Voltage Law)?

    KVL is important for analyzing closed-loop circuits, indicating that the total voltage around any closed loop must equal zero.

  • What is the formula for current density?

    Current density J is calculated as the current I divided by the cross-sectional area A, J = I / A.

  • How does temperature affect resistivity?

    Resistivity generally increases with temperature due to the increase in thermal agitation of particles within the conductor.

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  • 00:00:18
    hello everybody Welcome to vantu telu
  • 00:00:20
    channel this is your master teacher for
  • 00:00:22
    physics K maam
  • 00:00:27
    ient electricity class
  • 00:00:46
    current
  • 00:00:49
    electricity where is
  • 00:00:53
    it
  • 00:00:56
    okay current
  • 00:00:58
    electricity
  • 00:01:04
    current
  • 00:01:18
    [Music]
  • 00:01:25
    electricity
  • 00:01:28
    electri
  • 00:01:35
    dri
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    electricity good morning
  • 00:01:45
    everybody okay
  • 00:01:53
    so resistance ohms
  • 00:01:58
    law
  • 00:02:01
    questions combination of
  • 00:02:04
    resistors combination of
  • 00:02:24
    resistors kof's law yes another
  • 00:02:28
    guaranteed question
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    application wistone
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    bridge and meter
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    Bridge so
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    lesson ma'am Mains key timable P please
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    Mains key time table press
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    I'm actually not feeling well at
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    all that is my condition right now
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    so that's it okay but Sunday
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    elect
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    exam so current electricity let us start
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    with
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    electric
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    because this
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    is okay let us
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    try just give me one
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    minute scalar
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    quantity with
  • 00:04:28
    Direction
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    Direction scal quantity so electric
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    current scal quantity
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    Direction always take
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    convention
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    positive
  • 00:05:07
    current it flows from high
  • 00:05:12
    potential high potential to low
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    po negative
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    low so high potential and low potential
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    electrical
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    flow electri flow of
  • 00:05:52
    electrons flows from higher potential to
  • 00:05:55
    lower potential higher
  • 00:05:58
    potential
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    I
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    start
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    number
  • 00:07:28
    r
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    at
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    cel
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    application examination
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    ENT first of all number
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    okay
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    so symb capital letter A okay I ere symb
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    capital capital letter a i basic formula
  • 00:08:56
    I equal to Q by T amount of charge
  • 00:09:00
    flowing across a cross-sectional area in
  • 00:09:03
    a unit time for
  • 00:09:22
    example
  • 00:09:28
    crosssection
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    inst average current and total charge
  • 00:10:02
    the total total charge flowing by total
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    time taken entire
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    charge inous
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    current Tous current instantaneous
  • 00:10:21
    current and I
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    instantaneous I instantaneous
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    instantaneous
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    Delta Q by delta T limit delta T tends
  • 00:10:34
    to Z delt T time when it approaches to
  • 00:10:38
    very small
  • 00:10:45
    amane so I
  • 00:10:48
    instantaneous DQ by
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    DT so Q is given as function of time Q
  • 00:10:56
    is equal to 3 t² - 2T a tus
  • 00:11:21
    balal
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  • 00:11:29
    T So current is given as function of
  • 00:11:33
    time when current is given as function
  • 00:11:35
    of time
  • 00:11:43
    then right
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  • 00:11:58
    given as function of
  • 00:12:27
    applications
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  • 00:12:40
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  • 00:12:44
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    number
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  • 00:13:02
    is equal Q by E the number of
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    charges
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    1.6 into
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  • 00:13:54
    question find the
  • 00:13:56
    current find the current
  • 00:13:59
    current when an
  • 00:14:01
    electron when an electron is
  • 00:14:08
    revolving revolving in a circular
  • 00:14:14
    path circular path of radius
  • 00:14:19
    R radius R okay R
  • 00:14:27
    radius
  • 00:14:53
    so linear velocity angular velocity
  • 00:14:56
    normal I equal Al Q
  • 00:15:04
    elect
  • 00:15:24
    El okay so Q by circular path
  • 00:15:38
    so
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    T
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    2 if T = 2 pi by
  • 00:15:49
    Omega IAL Q by 2 by
  • 00:15:57
    omeg 2 Omega Omega
  • 00:16:01
    2 if Omega equal 2 f 2 pi 2 cancel IAL Q
  • 00:16:09
    into
  • 00:16:13
    F electric current Char
  • 00:16:21
    frequency uh I is equal to Q into F
  • 00:16:25
    electric current is equal to charge into
  • 00:16:27
    frequency
  • 00:16:29
    e formula electric current in terms of
  • 00:16:32
    frequency e formula electric current in
  • 00:16:35
    terms of time period next e formula
  • 00:16:39
    electric current in terms of angular
  • 00:16:43
    velocity electric current in terms of
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    angular
  • 00:16:51
    velocity if Omega equal to V equal R
  • 00:16:55
    Omega Omega equal V by r
  • 00:16:59
    v = r Omega omegal V by R substitute
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    substitute IAL Q into V by 2i
  • 00:17:10
    R so we have written so many varieties
  • 00:17:13
    electric current in terms of time period
  • 00:17:16
    electric current in terms of angular
  • 00:17:18
    velocity electric current in terms of
  • 00:17:20
    angular frequency electric current in
  • 00:17:23
    terms of linear
  • 00:17:27
    velocity
  • 00:17:57
    next
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    2
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    andal basic
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    first
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    velocity drift
  • 00:18:57
    velocity
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    meaning 10us 4 me speed electr
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    so 10us
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    4
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    0.1
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    me
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    cond same
  • 00:20:27
    conductor
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    con
  • 00:21:20
    first of
  • 00:21:27
    all start so initial velocity Z from
  • 00:21:32
    equation v = u + a v u u
  • 00:21:41
    velocity a
  • 00:21:51
    into to the mean time or mean relaxation
  • 00:21:57
    time
  • 00:22:00
    to is
  • 00:22:02
    called relaxation
  • 00:22:07
    time relaxation time to relaxation
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    time so
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    relaxation
  • 00:22:19
    rela initial position
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    final
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    Rel
  • 00:23:08
    AAL
  • 00:23:12
    e AAL EQ by T okay EQ
  • 00:23:24
    by
  • 00:23:26
    chares
  • 00:23:28
    so since
  • 00:23:31
    qal
  • 00:23:43
    electron Small E by m AAL to EQ by m
  • 00:23:50
    sorry a equal to EQ by
  • 00:23:54
    m EQ by m a Al to EQ by m yes correct
  • 00:24:00
    shanuka uh sorry
  • 00:24:21
    shakala M
  • 00:24:23
    into relaxation
  • 00:24:26
    timey mass of
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    electron
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    El
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    next relaxation time equal VD drift
  • 00:24:42
    velocity into mass of electron by
  • 00:24:45
    capital E into small
  • 00:24:48
    e okay so relaxation formula
  • 00:24:56
    okay electric
  • 00:24:59
    current in terms of drift
  • 00:25:02
    velocity
  • 00:25:18
    next5 please
  • 00:25:19
    tell
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    75
  • 00:25:49
    next electric
  • 00:25:51
    current in terms
  • 00:25:55
    of drift velocity
  • 00:25:58
    electric current in terms of drift
  • 00:26:00
    velocity electric current in terms of
  • 00:26:03
    drift velocity already coms electric
  • 00:26:06
    current drift velocity relation very
  • 00:26:09
    famous relation I is equal to NE a VD
  • 00:26:24
    iology electric current n number of
  • 00:26:27
    charges
  • 00:26:29
    e important n number of
  • 00:26:34
    charges e 1.6 into 10 power - 19 Kum a
  • 00:26:41
    area of
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    crosssection
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    crosssection of cross-section Place L
  • 00:26:53
    always try to write p r squ area of CR
  • 00:27:15
    CR drift velocity okay
  • 00:27:24
    so
  • 00:27:26
    Elm
  • 00:27:29
    elect so
  • 00:27:35
    next current density something
  • 00:27:38
    called current
  • 00:27:41
    density current
  • 00:27:46
    density so
  • 00:27:49
    currrent density basic formula current
  • 00:27:52
    density is equal to current by area
  • 00:27:57
    current density is equal to current by
  • 00:28:00
    area IAL J into
  • 00:28:17
    a so IAL j
  • 00:28:26
    a
  • 00:28:30
    Bas
  • 00:28:32
    Vector
  • 00:28:45
    vect okay so electric current in terms
  • 00:28:49
    of current
  • 00:28:56
    density current density
  • 00:29:03
    electri okay current density key
  • 00:29:07
    relation
  • 00:29:10
    between relation between J Bar and E bar
  • 00:29:16
    e bar and electric field current density
  • 00:29:25
    electric Vector form
  • 00:29:29
    of OHS
  • 00:29:31
    law
  • 00:29:32
    OHS Vector
  • 00:29:46
    form
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    Jal Sigma into
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    e okay Le Sigma is equal to J Bar by e
  • 00:29:58
    bar J current density e electric field
  • 00:30:03
    Sigma
  • 00:30:05
    Sigma
  • 00:30:08
    conductivity
  • 00:30:10
    Sig
  • 00:30:16
    conductivity reciprocal of resistivity
  • 00:30:19
    is called
  • 00:30:21
    conductivity Sigma is equal to 1 by row
  • 00:30:25
    Sigma is equal to 1 by row
  • 00:30:28
    row
  • 00:30:31
    resistivity reciprocal of conductivity
  • 00:30:34
    is called
  • 00:30:36
    resistivity resistivity Sigma is equal
  • 00:30:40
    to 1 by row ma already class
  • 00:30:43
    beginning electromagnetic waves Sunday
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    morning
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    11:00 electromagnetic waves Sunday
  • 00:30:50
    morning
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    11 next so
  • 00:30:56
    res
  • 00:30:58
    substitute yes J Bar is equal to e bar
  • 00:31:03
    by row Sigma 1
  • 00:31:08
    by okay J equal e into e
  • 00:31:21
    by
  • 00:31:25
    Mobility symbolize
  • 00:31:36
    movement of electron is called Mobility
  • 00:31:38
    Mobility
  • 00:31:41
    symbility Formula Drift velocity by
  • 00:31:44
    electric
  • 00:31:46
    field Mobility Formula Drift velocity by
  • 00:31:50
    electric
  • 00:31:56
    field
  • 00:32:26
    elect
  • 00:32:51
    right ohms
  • 00:32:54
    law so OHS law
  • 00:33:03
    const
  • 00:33:05
    temp
  • 00:33:11
    temp
  • 00:33:15
    con so at constant temperature it is V
  • 00:33:19
    is proportional to i v equal
  • 00:33:25
    i v
  • 00:33:28
    potential potential
  • 00:33:30
    difference potential difference current
  • 00:33:33
    electricity
  • 00:33:42
    lesson potential
  • 00:33:53
    difference Kiran rava m
  • 00:34:21
    G which is reciprocal of resistance is
  • 00:34:24
    called
  • 00:34:25
    conductance
  • 00:34:28
    conductance reciprocal of resistance is
  • 00:34:30
    called conductance reciprocal of
  • 00:34:33
    resistivity is called
  • 00:34:35
    conductivity reciprocal of resistivity
  • 00:34:38
    is called conductivity reciprocal of
  • 00:34:41
    resistance is called
  • 00:34:55
    conduct
  • 00:35:25
    pleas
  • 00:35:29
    resistance
  • 00:35:31
    Ral r l by
  • 00:35:36
    a okay
  • 00:35:38
    rity and
  • 00:35:41
    also is equal to R A by l r r a by L the
  • 00:35:48
    L length of the
  • 00:35:54
    conductor we cannot decide formula
  • 00:36:01
    low formula low R A
  • 00:36:12
    by Point
  • 00:36:14
    resistivity does
  • 00:36:16
    not
  • 00:36:18
    depend does not depend
  • 00:36:21
    on
  • 00:36:24
    Dimensions resistivity does not depend
  • 00:36:27
    on Dimensions
  • 00:36:29
    Dimensions length and area of
  • 00:36:32
    crosssection
  • 00:36:34
    dep of a
  • 00:36:37
    conductor
  • 00:36:40
    conductor L area of
  • 00:36:49
    cross depends
  • 00:36:52
    on row only depends on temp
  • 00:36:57
    temperature
  • 00:36:59
    temperature R
  • 00:37:01
    the nature of the
  • 00:37:11
    material
  • 00:37:21
    temperature 2 me area of crosssection a
  • 00:37:26
    l
  • 00:37:29
    what
  • 00:37:44
    the
  • 00:37:47
    material
  • 00:37:49
    material
  • 00:37:54
    Mar material Mar
  • 00:38:00
    resistivity
  • 00:38:03
    symb
  • 00:38:05
    resistivity resistivity
  • 00:38:10
    Maru so
  • 00:38:23
    materiality okay so resistivity
  • 00:38:36
    so variation
  • 00:38:40
    of variation of R and row with
  • 00:38:52
    temperature temperature to resistance
  • 00:38:58
    resistivity resistance
  • 00:39:01
    resistivity
  • 00:39:02
    rtal R into 1 + Alpha into Delta
  • 00:39:08
    Theta row T is equal to row not into 1 +
  • 00:39:14
    Al into Delta Theta
  • 00:39:18
    so linear coefficient thermal properties
  • 00:39:23
    of matter Al Bet
  • 00:39:25
    G alpha alpha and coefficient
  • 00:39:32
    of coefficient of
  • 00:39:36
    thermal
  • 00:39:41
    conductivity coefficient of thermal
  • 00:39:44
    conductivity R not row not R not
  • 00:39:48
    and resistance resistivity at initial
  • 00:39:52
    temperature RT R not an resistance at
  • 00:39:57
    final temperature
  • 00:40:00
    delt final temperature minus initial
  • 00:40:03
    temperature
  • 00:40:25
    right
  • 00:40:29
    right so very sorry
  • 00:40:33
    unable
  • 00:40:36
    but Source
  • 00:40:39
    chap Akira
  • 00:40:55
    MO
  • 00:41:25
    fre
  • 00:41:55
    so resistance
  • 00:42:04
    minus r by R into Delta Theta Alpha is
  • 00:42:09
    equal roow T minus
  • 00:42:25
    roow
  • 00:42:35
    factors so
  • 00:42:38
    factors
  • 00:42:40
    affecting factors affecting
  • 00:42:47
    resistance
  • 00:42:48
    resistance
  • 00:42:55
    res factors dep Basics Basics we know
  • 00:43:02
    that R is proportional to L and R is
  • 00:43:07
    inversely proportional to area of
  • 00:43:09
    crosssection resistance L directly
  • 00:43:12
    proportional are of crosssection
  • 00:43:14
    inversely
  • 00:43:16
    proportional crosssection inversely
  • 00:43:19
    proportional then it is inversely
  • 00:43:21
    proportional to
  • 00:43:24
    r² area
  • 00:43:26
    Al
  • 00:43:29
    R so
  • 00:43:33
    resistance resistance radius resistance
  • 00:43:36
    area resistance length
  • 00:43:49
    resistance percentage change
  • 00:43:52
    question percentage change in resistance
  • 00:43:58
    so delt R by R into 100 percentage
  • 00:44:02
    change in resistance change in quantity
  • 00:44:05
    by original quantity into 100 so Delta R
  • 00:44:09
    by R into 100 directly proportional
  • 00:44:13
    Delta L by L into
  • 00:44:15
    100
  • 00:44:17
    are Del R by R into 100 is equal to
  • 00:44:22
    Delta a by a into 100
  • 00:44:26
    [Music]
  • 00:44:35
    delt R by R into 100 equal to
  • 00:44:39
    r² 2 into Delta R by R into
  • 00:44:43
    100 2 into Del R by R into
  • 00:44:52
    100 and dimensions me
  • 00:45:02
    di percentage
  • 00:45:06
    change is less
  • 00:45:10
    than 5% less than less than
  • 00:45:16
    5% question percentage change options
  • 00:45:20
    low percent change less
  • 00:45:24
    5% if percentage change is more than
  • 00:45:28
    5% if percentage
  • 00:45:31
    change is more
  • 00:45:35
    than
  • 00:45:37
    5%
  • 00:45:39
    0.01% 0 1%
  • 00:45:42
    2% 20% 30%
  • 00:45:54
    60%
  • 00:45:59
    possible YouTube not possible at
  • 00:46:11
    all because I'm not able to get
  • 00:46:15
    up Hospital morning so that is my
  • 00:46:20
    condition
  • 00:46:23
    sb3 sb3 and
  • 00:46:34
    K RAV n sb3
  • 00:46:39
    already
  • 00:46:54
    2024
  • 00:46:57
    let us
  • 00:47:10
    happy
  • 00:47:13
    more R2 - R1 by R1 into 100 is equal to
  • 00:47:19
    L2 - L1 by L1 into
  • 00:47:23
    100 so percentage change less than
  • 00:47:29
    5% units and dimensions method less
  • 00:47:41
    than very very very important
  • 00:47:52
    conceptus
  • 00:47:54
    butus proportional
  • 00:47:59
    to something called recasting of
  • 00:48:04
    wi recasting of
  • 00:48:23
    wire recasting of a wire
  • 00:48:26
    Le
  • 00:48:27
    wire is
  • 00:48:32
    elongated wire is
  • 00:48:39
    elongated
  • 00:48:47
    is is
  • 00:48:51
    elongated
  • 00:48:54
    sentence
  • 00:48:57
    wire is
  • 00:48:59
    melted and
  • 00:49:03
    made and made
  • 00:49:07
    into new
  • 00:49:24
    wire
  • 00:49:53
    so
  • 00:49:54
    concept
  • 00:50:01
    Mass
  • 00:50:02
    constant
  • 00:50:05
    Conant R is proportional to l
  • 00:50:10
    s
  • 00:50:22
    sent
  • 00:50:24
    Rec
  • 00:50:26
    R is proportional to l
  • 00:50:29
    squ r proportional to l
  • 00:50:49
    s r is inversely proportional to a
  • 00:50:52
    square R is inversely proportional to a
  • 00:50:55
    square
  • 00:50:58
    radius the radius length area of
  • 00:51:02
    crosssection radius length area of
  • 00:51:05
    crosssection radius so delt R by R into
  • 00:51:12
    100 2 into Delta L by L into
  • 00:51:19
    100 delt R by R into 100 is equal to 2
  • 00:51:24
    into Del Delta a by a into
  • 00:51:27
    100 delt R by R into 100 is equal to 4
  • 00:51:33
    into Del R by R into
  • 00:51:38
    100 okay
  • 00:51:44
    so
  • 00:51:49
    differ ma'am I got 465 in first year how
  • 00:51:53
    much do I need to score in second year
  • 00:51:55
    if you you are in AP y y y TT if you are
  • 00:51:58
    in AP try to get 100%
  • 00:52:01
    marks if you are in to
  • 00:52:17
    get wrong
  • 00:52:24
    thinking
  • 00:52:34
    that's it
  • 00:52:54
    okay
  • 00:53:14
    98 prepare for the best
  • 00:53:21
    so combination of
  • 00:53:24
    resist
  • 00:53:48
    combin resistors series parallel
  • 00:53:50
    combination L Ro rosan prit MB
  • 00:53:56
    offl
  • 00:54:08
    exam
  • 00:54:24
    okay
  • 00:54:26
    combination of resistor L first
  • 00:54:28
    combination let us take series
  • 00:54:33
    combination series
  • 00:54:39
    combination
  • 00:54:50
    IND series combination so resistors R1
  • 00:54:54
    R2
  • 00:55:24
    RB
  • 00:55:32
    correct
  • 00:55:47
    okay
  • 00:55:54
    combin
  • 00:56:01
    R1 V1 poal across R2 V2 potential across
  • 00:56:05
    R3 V3 potential series
  • 00:56:08
    combination potential
  • 00:56:13
    divid poal
  • 00:56:18
    div across all the resistors so
  • 00:56:22
    current IAL i1 Plus
  • 00:56:25
    I2 + I3
  • 00:56:29
    I
  • 00:56:31
    IAL
  • 00:56:39
    sorry combin V = V1 + V2 + V3 V
  • 00:56:46
    equal R in series combination is equal
  • 00:56:49
    to R1 + R2 +
  • 00:56:53
    R3
  • 00:57:02
    effec crosssection area increase then
  • 00:57:05
    mass will change ma'am ra Ragu Ru
  • 00:57:08
    crosssectional area
  • 00:57:23
    increase M
  • 00:57:30
    marama mechanical in South nit Akira
  • 00:57:34
    2023 pyq test 70 to 80
  • 00:57:38
    marks 70 to 80
  • 00:57:53
    marks
  • 00:58:17
    allim
  • 00:58:23
    okay
  • 00:58:25
    question V1 value V2 value V3 value find
  • 00:58:31
    the potential difference across R2 find
  • 00:58:34
    the potential difference across
  • 00:58:40
    R3 V1 equal R1 by R1 + R2 +
  • 00:58:48
    R3 into total potential V V2 R2
  • 00:58:55
    so R2 by R1 + R2 +
  • 00:58:59
    R3 into
  • 00:59:02
    V V3
  • 00:59:04
    equal
  • 00:59:06
    R3 r1+ R2 + R3 into
  • 00:59:13
    V shortcut formul
  • 00:59:16
    okay combin shortcut
  • 00:59:20
    formul so let us go with the parallel
  • 00:59:23
    combination
  • 00:59:28
    parallel
  • 00:59:34
    combination
  • 00:59:52
    sobin amount of potential
  • 01:00:07
    resist R1 R2
  • 01:00:13
    R3 I I
  • 01:00:21
    I3 so I I I
  • 01:00:41
    difference Remains the Same across every
  • 01:00:45
    resistor potential difference
  • 01:00:49
    same so
  • 01:00:51
    I IAL i1 + I2 +
  • 01:00:55
    I3 I equal to V by r v cancel 1 by R in
  • 01:00:59
    parall equal to 1 by R1 + 1 by R2 + 1 by
  • 01:01:23
    R3
  • 01:01:25
    reading question
  • 01:01:50
    reading
  • 01:01:53
    okay
  • 01:02:07
    so
  • 01:02:23
    okay
  • 01:02:48
    SOC 1 by R1 + 1 by R2 + 1 by R3
  • 01:02:55
    into total current I I2 is
  • 01:03:00
    equal current divider
  • 01:03:06
    circuit current divider
  • 01:03:10
    circuit combination potential
  • 01:03:15
    div
  • 01:03:17
    div current div iul 1 by R2 equal 1 by
  • 01:03:24
    R1 + 1 by R2 + 1 by
  • 01:03:28
    R3 into total current same
  • 01:03:33
    I3
  • 01:03:36
    1 by 1 by R1 + 1 by R2 + 1 by
  • 01:03:43
    R3 into total current I Okay
  • 01:03:53
    so
  • 01:04:17
    because
  • 01:04:19
    energy by time so power is equal to
  • 01:04:24
    electrical energy formula i² r t by T
  • 01:04:29
    electrical energy formula J's law of
  • 01:04:34
    heating
  • 01:04:39
    i i s r t so t t
  • 01:04:45
    cancal i² r
  • 01:04:48
    formula next IAL V by R substitute i v
  • 01:04:56
    rute p = v²
  • 01:05:02
    r
  • 01:05:03
    Ral V by I
  • 01:05:06
    substitute p isal v
  • 01:05:23
    i 1 kilowatt hour kilowatt hour is equal
  • 01:05:28
    to 3.6 into 10^ 6
  • 01:05:35
    JS
  • 01:05:41
    number
  • 01:05:43
    so power calculation basing on the given
  • 01:05:53
    information
  • 01:06:12
    electric
  • 01:06:17
    cells
  • 01:06:19
    EMF V and
  • 01:06:23
    potential
  • 01:06:28
    potential terminal
  • 01:06:31
    voltage terminal
  • 01:06:34
    voltage EMF it is electromotive force
  • 01:06:39
    the force with which it forces the
  • 01:06:43
    electrons to move from one end of the
  • 01:06:45
    wire to other end of The
  • 01:06:53
    Wire is equal to e minus
  • 01:06:57
    I small r n internal
  • 01:07:03
    resistance internal
  • 01:07:20
    resistance
  • 01:07:22
    reaction
  • 01:07:42
    okay
  • 01:07:44
    oh 3 Vols 1
  • 01:07:52
    oh
  • 01:08:01
    Capital Ral 8 ohms but small Ral 1
  • 01:08:09
    oh 8
  • 01:08:15
    ohms 8 OHS 1
  • 01:08:22
    oh
  • 01:08:32
    Amal e r small
  • 01:08:38
    r
  • 01:08:45
    resn
  • 01:08:52
    extern
  • 01:09:02
    [Music]
  • 01:09:11
    okay firstent electricity very good at
  • 01:09:22
    least
  • 01:09:31
    this is the answer for
  • 01:09:39
    you cells in series
  • 01:09:41
    par cells in
  • 01:09:45
    series
  • 01:09:48
    combination
  • 01:09:50
    cells in parallel
  • 01:09:57
    combination
  • 01:09:59
    identical
  • 01:10:19
    combination series
  • 01:10:22
    combination
  • 01:10:24
    external
  • 01:10:32
    resistance external
  • 01:10:38
    resistance Capal external resistance e e
  • 01:10:43
    e
  • 01:10:49
    e internal resistance smaller identical
  • 01:10:52
    C so current current Formula I total
  • 01:10:58
    equal to V
  • 01:11:22
    total
  • 01:11:31
    by internal resistance
  • 01:11:35
    extern current in series combination
  • 01:11:38
    that's
  • 01:11:39
    it internal resistance external
  • 01:11:43
    resistance
  • 01:11:44
    combin so
  • 01:11:50
    NR
  • 01:11:52
    connect
  • 01:11:55
    wrongly connected
  • 01:11:57
    cells out
  • 01:11:59
    of n
  • 01:12:01
    cells n number of cells low M
  • 01:12:06
    cells are wrongly
  • 01:12:10
    connected wrongly
  • 01:12:22
    connected l
  • 01:12:47
    conect so
  • 01:12:52
    dou
  • 01:13:17
    M into capital E by n - 2 m into small r
  • 01:13:25
    cap
  • 01:13:39
    okay wrongly connected
  • 01:13:41
    okay anyways so series combination
  • 01:13:49
    maximum small R much much greater than
  • 01:13:52
    capital r r capital r much much greater
  • 01:13:56
    than small R
  • 01:13:58
    conditions small R much much greater
  • 01:14:00
    than capital r capital r negligible n e
  • 01:14:04
    by n r so I equal to e by small r
  • 01:14:08
    capital r much much greater than small
  • 01:14:11
    negligible n e by R IAL n e by R so
  • 01:14:18
    maximum current condition condition for
  • 01:14:21
    maximum current to flow
  • 01:14:24
    maximum current flow Val capital r must
  • 01:14:27
    be much much greater than small
  • 01:14:29
    R parall combination
  • 01:14:34
    easy
  • 01:14:37
    resistance intern
  • 01:14:47
    resistance n
  • 01:14:52
    cells
  • 01:14:55
    okay
  • 01:14:57
    c internal
  • 01:15:08
    resistance small small small e e e
  • 01:15:17
    [Music]
  • 01:15:22
    e
  • 01:15:29
    1.5 2.5 3.5 6.5
  • 01:15:35
    10.5
  • 01:15:39
    10.5
  • 01:15:52
    combin
  • 01:16:00
    equal V total by R
  • 01:16:05
    total V
  • 01:16:07
    total
  • 01:16:16
    V is equal to 1 by r + 1 by r + 1 by R
  • 01:16:21
    and so on and by R 1 by R effective so R
  • 01:16:27
    effective R by n so R
  • 01:16:40
    byn IAL
  • 01:16:44
    LCM by small R
  • 01:16:50
    NR cells in series parall comp
  • 01:16:53
    combination lecture
  • 01:16:59
    direct
  • 01:17:08
    pares years C problems
  • 01:17:22
    pleas so
  • 01:17:29
    K
  • 01:17:32
    kops
  • 01:17:35
    so second
  • 01:17:42
    so first
  • 01:17:44
    law it is also called
  • 01:17:47
    as Junction
  • 01:17:52
    law it is also called as
  • 01:17:55
    KCl current law or it is also called as
  • 01:18:01
    current
  • 01:18:06
    Lawan
  • 01:18:08
    so Loop
  • 01:18:15
    Junction any
  • 01:18:21
    Junction any Junction
  • 01:18:25
    Sigma IAL 0 to IAL n Sigma
  • 01:18:32
    I Sigma I equal
  • 01:18:36
    to0 Sigma I equal to0 the algebraic sum
  • 01:18:41
    of currents at a junction is equal to
  • 01:18:44
    zero the algebric sum of currents at a
  • 01:18:47
    junction
  • 01:18:51
    equal
  • 01:19:05
    so. then
  • 01:19:21
    I first law
  • 01:19:38
    I 4.5
  • 01:19:41
    amp 4.5
  • 01:19:44
    2 so I2
  • 01:19:47
    value
  • 01:19:51
    2.5
  • 01:19:54
    Junction
  • 01:20:21
    important
  • 01:20:39
    K's current law next kop Second Law
  • 01:20:47
    K's
  • 01:20:49
    kops second law kop of second law is
  • 01:20:54
    also called as Loop
  • 01:20:58
    law
  • 01:21:00
    or Loop
  • 01:21:16
    voltage
  • 01:21:18
    Loop so according to K's Loop law the
  • 01:21:21
    albc sum of all the current Potentials
  • 01:21:24
    in a closed loop in a closed loop K
  • 01:21:29
    condition closed loop sum of potentials
  • 01:21:33
    equal to
  • 01:21:36
    Z
  • 01:21:51
    problem problem in
  • 01:21:53
    techniques problem solving techniques
  • 01:21:57
    step number
  • 01:21:58
    one step number one
  • 01:22:01
    always
  • 01:22:05
    identify
  • 01:22:08
    Junctions Junctions First Step number
  • 01:22:14
    two
  • 01:22:17
    apply apply Junction law
  • 01:22:21
    KCl Junction
  • 01:22:27
    Junction so apply
  • 01:22:30
    k at those
  • 01:22:47
    Junctions first of all step number one
  • 01:22:50
    step number
  • 01:22:51
    two step number one step number
  • 01:22:55
    two
  • 01:22:57
    to
  • 01:22:59
    identify to identify the
  • 01:23:12
    currents number one step number
  • 01:23:15
    two number three and step number
  • 01:23:19
    three
  • 01:23:21
    identify
  • 01:23:23
    identify the
  • 01:23:26
    loops loops identify Next Step number
  • 01:23:31
    four step number four Loops
  • 01:23:35
    identify draw a
  • 01:23:51
    pathes step number four rules
  • 01:23:56
    rules
  • 01:23:58
    resist
  • 01:24:15
    okay Direction next now green
  • 01:24:21
    color
  • 01:24:23
    green
  • 01:24:51
    color
  • 01:25:17
    I and
  • 01:25:19
    path are in
  • 01:25:23
    same
  • 01:25:27
    direction current same
  • 01:25:30
    direction I and
  • 01:25:34
    path are in opposite
  • 01:25:42
    direction current path opposite
  • 01:25:46
    direction so
  • 01:25:50
    current same
  • 01:26:01
    V equal minus i v equal +
  • 01:26:17
    I next in case
  • 01:26:20
    of cells
  • 01:26:45
    Em
  • 01:26:49
    Green Green
  • 01:26:51
    colores
  • 01:27:13
    positive to negative negative to
  • 01:27:16
    positive positive
  • 01:27:18
    negative posi to negative land potential
  • 01:27:23
    decrease negative potential so V equal
  • 01:27:28
    minus
  • 01:27:37
    E
  • 01:27:46
    difference unidentical
  • 01:27:49
    let us take an example
  • 01:28:14
    also okay so it 1 ohm 2 ohms 3 ohms 4
  • 01:28:21
    Ohms
  • 01:28:23
    First Step number
  • 01:28:25
    one step number one step number
  • 01:28:30
    one identify the junction step number
  • 01:28:49
    two can I name this as Junction
  • 01:29:07
    okay heating effect
  • 01:29:13
    ofal i r heating effect of
  • 01:29:19
    current
  • 01:29:20
    already
  • 01:29:45
    equal so
  • 01:29:50
    Junction
  • 01:30:17
    I
  • 01:30:20
    I I
  • 01:30:49
    IIs same step number one step number two
  • 01:30:53
    currents identification I step number
  • 01:30:56
    three identify the loops draw a path
  • 01:30:59
    identify the loops
  • 01:31:05
    Loop c d
  • 01:31:12
    e so
  • 01:31:14
    Loop a c d b a a c d b a Iden
  • 01:31:38
    opposite
  • 01:31:39
    direction so plus 1 into i-
  • 01:31:44
    i1
  • 01:31:46
    next positive to Nega
  • 01:31:49
    landus 10
  • 01:31:52
    current opposite direction + 2 into i-
  • 01:31:57
    i1 equal
  • 01:32:07
    0 a
  • 01:32:09
    e f b a a e f b a PA
  • 01:32:19
    clockwise current same
  • 01:32:22
    - 4
  • 01:32:24
    i1
  • 01:32:28
    3us 3
  • 01:32:34
    i1
  • 01:32:50
    10al okay
  • 01:33:08
    resistor cell in resistor in cell find
  • 01:33:14
    the potential difference between a and b
  • 01:33:17
    2 ohm 6 volts 3 ohms 9
  • 01:33:48
    Vol so potential V a current path same
  • 01:33:54
    direction- 2 I path positive to
  • 01:34:06
    negative Direction - 3 i - 2 positive +
  • 01:34:12
    9- VB is equal
  • 01:34:15
    0
  • 01:34:17
    v
  • 01:34:20
    v okay
  • 01:34:33
    0
  • 01:34:36
    85
  • 01:34:46
    chap
  • 01:34:47
    chap easy to kill and compuls
  • 01:35:00
    9
  • 01:35:02
    95
  • 01:35:14
    95ti
  • 01:35:20
    okay okay
  • 01:35:36
    okay applications a wheatstone
  • 01:35:44
    bridge whe
  • 01:35:46
    bridge bridge easy
  • 01:35:49
    top Bridge
  • 01:35:59
    so brid B arrangement of
  • 01:36:16
    resistors p q r s
  • 01:36:32
    balanced
  • 01:36:35
    condition balanced condition there is no
  • 01:36:38
    current flowing through
  • 01:36:50
    galvanometer
  • 01:36:51
    am
  • 01:37:18
    of so i3
  • 01:37:29
    I will be equal to
  • 01:37:50
    Z
  • 01:37:52
    P by
  • 01:37:53
    qal R by
  • 01:38:06
    s p q p+ q
  • 01:38:10
    RS r + s e p + q r +
  • 01:38:16
    S so p + Q into r + S R1 R2 by
  • 01:38:25
    R1 p + Q + r +
  • 01:38:34
    S effective form
  • 01:38:44
    okay unbalanced Bridge p is not equal to
  • 01:38:48
    R by S unbalanced Bridge
  • 01:38:56
    unbalanced
  • 01:39:02
    okay
  • 01:39:06
    Lo
  • 01:39:12
    Loop
  • 01:39:13
    next met
  • 01:39:18
    Bridge inco
  • 01:39:20
    application
  • 01:39:22
    meter
  • 01:39:26
    Bridge 1 me
  • 01:39:33
    L point
  • 01:39:35
    B L Lal 100 cm 1
  • 01:39:42
    m
  • 01:39:50
    1
  • 01:40:14
    okay fixed okay physic
  • 01:40:18
    fixed left Gap
  • 01:40:22
    right
  • 01:40:24
    Gap right
  • 01:40:26
    Gap
  • 01:40:49
    fix
  • 01:40:59
    left right that's it so left Gap right
  • 01:41:03
    Gap left
  • 01:41:19
    Gap
  • 01:41:28
    so L1
  • 01:41:30
    CM because one one me
  • 01:41:34
    fix L2 equal 100us
  • 01:41:49
    L1
  • 01:41:51
    resistance in left
  • 01:41:54
    Gap resistance
  • 01:41:57
    in left
  • 01:41:59
    Gap by
  • 01:42:04
    resistance in
  • 01:42:14
    right confusion the left Gap low
  • 01:42:17
    resistance the right Gap low resistance
  • 01:42:20
    is equal to 2 is equal to L1 by L2 Le L1
  • 01:42:26
    by 100us
  • 01:42:49
    L2
  • 01:43:15
    description current
  • 01:43:19
    electricity
  • 01:43:46
    electricity current
  • 01:43:48
    electricity 10 questions 10 to 15
  • 01:43:51
    questions
  • 01:44:13
    practice
  • 01:44:15
    sorry act
  • 01:44:18
    surprise surprise
  • 01:44:21
    and dpps are
  • 01:44:26
    provided dpps are
  • 01:44:29
    provided
  • 01:44:31
    with every
  • 01:44:34
    class every class
  • 01:44:39
    except except IP
  • 01:44:42
    classes IP
  • 01:44:49
    object
  • 01:45:19
    link
  • 01:45:32
    assments
  • 01:45:44
    ques Chanel
  • 01:45:46
    join almost every week 15
  • 01:46:12
    elect waves
  • 01:46:19
    eles join thank you all thank you guys
  • 01:46:22
    Sunday electromagnetic
  • 01:46:26
    baves
Tags
  • current electricity
  • Ohm's Law
  • resistors
  • electric current
  • Wheatstone Bridge
  • drift velocity
  • Kirchhoff's Laws
  • resistivity
  • conductivity
  • electric circuits