Induced EMF in a moving conductor - Electromagnetic Induction

Induced EMF in a moving conductor

Lessons

Notes:

In this lesson, we will learn:

  • Moving a conductor in a uniform magnetic field results in an induced emf across the conductor.
  • How to find the magnitude of the electromotive force?
  • How to find the direction of the electromotive force?

Notes:

  • Moving a conductor in a uniform magnetic field results in an induced emf across the conductor.
  • As the conductor moves, there is a change in magnetic flux, due to the change in area of the conductor that is exposed to the magnetic field lines.

  • Induced EMF in a Moving Conductor.


  • Change in flux results in electromotive force induction and induced emf in the loop.


  • Magnitude of the Electromotive Force


  • According to Faraday’s law:

ϵ=ΔϕΔt \large \epsilon = \frac{\Delta \phi} {\Delta t}


ll = length of the rod
BB = magnetic field
vv = speed of the rod
AA = area of the loop

If the rod moves at speed of vv , it travels a distance of Δx\Delta x , in a time Δt\Delta t ;

Δx=vΔt \Delta x = v \Delta t

Therefore, the area of the loop changes by an amount of ΔA\Delta A = lΔxl \Delta x

ϵ=ϕΔt=BΔAΔt=BlvΔtΔt=Blv\large \epsilon = \frac{\phi} {\Delta t} = \frac{B \Delta A} {\Delta t} = \frac{Blv \, \Delta t} {\Delta t} = Blv



Direction of the Induced Current and Electromotive Force

  • The direction of the induced current is in a way to oppose the change in flux.

  • Induced EMF in a Moving Conductor.
  • Intro Lesson
    • a)
      0V
    • b)
      0.090V
    • c)
      0.36V
    • d)
      0.45V
    • a)
      0.10 m/s
    • b)
      0.75 m/s
    • c)
      1.9 m/s
    • d)
      2.4 m/s
    • a)
      3.5 × 10?2m
    • b)
      5.1 × 10?2m
    • c)
      5.9 × 10?2m
    • d)
      6.2 × 10?2m
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Induced EMF in a moving conductor

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