4.3 a) b) Force on a moving charged particle in a uniform magnetic field

00:11:04
https://www.youtube.com/watch?v=pKo-_JDbBZg

Resumo

TLDRThe video discusses the concept of magnetic force experienced by charged particles moving through a magnetic field. It notes that stationary charges do not experience any force, while moving charges do. The equation for magnetic force, fb = qvb sin(θ), is explained, with q representing charge, v representing velocity, b representing the magnetic field, and θ being the angle between the charge's velocity and the magnetic field. The video provides an example calculation for a proton moving at a specific velocity in a magnetic field, demonstrating how to compute the magnitude of the force and determine its direction using the right-hand rule.

Conclusões

  • ⚡ Stationary charges in a magnetic field experience no force.
  • 🧮 Moving charges experience a magnetic force described by fb = qvb sin(θ).
  • 🧭 The angle θ is crucial for calculating force magnitude.
  • ☝️ Right-hand rule helps to determine the direction of magnetic force.
  • 📊 Example of calculating the magnetic force on a proton provided.

Linha do tempo

  • 00:00:00 - 00:05:00

    The video discusses the relative force exerted on charges in a magnetic field. It explains that a stationary electric charge within a magnetic field experiences no force. However, when a charged particle (like a proton) is moving within the magnetic field, it experiences a magnetic force. The magnitude of this force is determined using the equation F = qvB sin(θ), where F is the magnetic force, q is the charge, v is the velocity of the charge, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field direction. The right hand rule is introduced to find the direction of the force acting on the charge.

  • 00:05:00 - 00:11:04

    An example demonstrates calculating the magnetic force on a proton traveling at 5 x 10^7 m/s in a magnetic field of 1.5 T perpendicular to its velocity. The parameters are substituted into the equation to yield a force of 1.20 x 10^-11 N. The video also illustrates how to determine the direction of the force using the right-hand rule, where the fingers of the right hand point in the direction of velocity and the palm faces the magnetic field, resulting in the force direction coming out of the palm. Another example poses a similar calculation, adjusting the angle to 50 degrees between the velocity and the magnetic field.

Mapa mental

Vídeo de perguntas e respostas

  • What happens to a stationary charge in a magnetic field?

    A stationary electric charge in a magnetic field will not experience any force.

  • What is the formula for magnetic force?

    The formula for magnetic force is fb = qvb sin(θ).

  • How do you calculate magnetic force magnitude?

    You calculate the magnitude by using the formula fb = qvb sin(θ), where θ is the angle between velocity and magnetic field.

  • What does the right-hand rule help to find?

    The right-hand rule helps to find the direction of the magnetic force.

  • What is the significance of the angle θ in the magnetic force equation?

    The angle θ is significant as it determines the component of the force that is perpendicular to the magnetic field.

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  • 00:00:18
    explain and use relative force equation
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    how and um
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    how many
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    magnitude and direction
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    okay force
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    in a uniformity field okay so
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    we go to the first part which is okay
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    the explanation here state that
  • 00:00:58
    a stationary electric charge in a
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    magnetic field will not experience
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    any force okay for example i have
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    this thing okay this is my uniform
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    magnetic field
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    ceremony
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    into the fish okay
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    the yanked were young be there
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    constant then the out of the
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    yeah my channel just blew me so that me
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    the whole thing told me
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    so if i put one charge inside here the
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    first one for example
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    two positive charge okay
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    this one is
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    okay young stationery
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    not moving
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    not moving velocity equals to zero so
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    billions
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    magnetic force equals to zero
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    that can eliminate it first okay but
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    okay okay color charge
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    is moving with a velocity in a magnetic
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    field
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    then we'll experience a force
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    magnetic force fb okay so this one
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    guitar pang is a bad guy
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    magnetic force
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    velocity velocity
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    the
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    so there i can experience magnetic force
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    okay so this force known as magnetic
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    force
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    so magnetic force symbolic fb
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    this what can you force the i can idea
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    magnitude and direction
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    okay now we want to know how you want to
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    find magnitude
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    direction our right hand rule
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    okay so we go to the magnitude first
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    okay
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    so you need this uh they describe when
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    you punish attack you have to know
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    the magnitude of the force the formula
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    is
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    the one and only f equals to q
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    v b sine theta okay q ella
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    charge for example
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    proton chassis constant one point six
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    exponential 19 electron position
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    the constant 1.6 exponent negative 19.
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    okay so column v the velocity
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    of the charge b magnetic field magnetic
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    field guitar attack density
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    sine theta is between v
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    and b this is the most important thing
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    angle enter the velocity and magnetic
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    field
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    okay so this is how you find the
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    magnitude
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    now we go to the example five look at
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    notacamo it said that
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    calculate the magnitude of the force
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    on a proton traveling five exponents
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    seven meter per second
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    in the uniformative flux density 1.5
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    weber per meter square okay so
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    take a look at all the infinite idea
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    okay so info i have a proton so say tahu
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    1.6 exponent negative 19 coulomb
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    okay and the baggy velocity
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    five exponent seven m s negative one
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    then the buggy
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    b per meter squared unit
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    tesla one point five tesla
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    calculated the magnitude of the force
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    fb hollow velocity of the proton
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    is perpendicular to the magnetic field
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    so much
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    velocity for example
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    then they are perpendicular so
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    perpendicular 90 degree to
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    when it feels so i know this is the
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    tetanus
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    angle between v and b then dimension the
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    cassini
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    perpendicular so one more info that i
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    have
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    theta equals to 90 degree
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    okay so let me touch here fb so simple
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    side here
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    fb is equals to qvb sine theta
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    so i have q 1.6 exponent negative 19.
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    the velocity is 5 exponent 7
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    b is 1.5 tesla sine 90 degree
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    so if you calculate you again apply
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    1.20 exponent negative 11 then unit into
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    force is always
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    written so do i need to find the
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    direction
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    no because the magnitude
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    okay so settle for example five so we go
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    to the
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    direction it's about force music and the
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    magnitude and direction
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    so how i want to find the direction as
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    usual
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    right hand rule okay this one is
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    so now right hand rule is very simple
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    you
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    put your four fingers you don't put
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    fingers
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    these four fingers velocity then you put
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    your palm
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    magnetic field okay so how
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    okay the thing is
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    i
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    fb into
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    the page okay okay for this one
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    b fbs
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    velocity say cosigner so see i cannot
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    buy
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    this one java security
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    fb
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    to the left okay
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    and for this one palm psyche into the
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    page
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    velocity so
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    palm into the page
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    right hand grip rule so this one you're
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    gonna put bu into the page
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    so velocity cassini
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    so first say akanda pack
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    so later this one this part um
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    i will explain more in the class okay
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    so now we go to the example eight okay
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    so example eight basically
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    [Music]
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    an example
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    five so you can try to do example eight
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    okay okay for this one okay
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    so come
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    make an angle 50 degree with magnetic
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    field so velocity
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    and magnetic field 50 degree
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    depending
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    so you can calculate because you have
  • 00:10:45
    the q you got
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    okay by using the formula fb
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    equals to qvb
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    sine theta okay so you're gonna point to
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    it
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    okay so it is
  • 00:11:00
    okay next we will learn 4.4 so thank you
Etiquetas
  • magnetic force
  • charged particle
  • uniform magnetic field
  • right-hand rule
  • velocity
  • angle
  • magnitude
  • electric charge
  • proton