Electromagnetic Induction Physics Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
A coil with 200200 turns and area 0.02 m20.02 \text{ m}^2 is rotated from perpendicular to parallel to a 0.5 T0.5 \text{ T} magnetic field in 0.1 s0.1 \text{ s}. What is the average induced EMF?

Solution

  1. 1
    Initial flux (perpendicular to field): Φi=BA=0.5×0.02=0.01 Wb\Phi_i = BA = 0.5 \times 0.02 = 0.01 \text{ Wb}.
  2. 2
    Final flux (parallel to field, no flux passes through): Φf=0 Wb\Phi_f = 0 \text{ Wb}.
  3. 3
    Induced EMF: E=−NΔΦΔt=−200×0−0.010.1=−200×(−0.1)=20 V\mathcal{E} = -N\frac{\Delta\Phi}{\Delta t} = -200 \times \frac{0 - 0.01}{0.1} = -200 \times (-0.1) = 20 \text{ V}

Answer

E=20 V\mathcal{E} = 20 \text{ V}
Rotating a coil in a magnetic field changes the flux through it, inducing an EMF. This is the fundamental principle behind electric generators, where continuous rotation produces alternating current.

About Electromagnetic Induction

The process by which a changing magnetic flux through a conducting loop produces a voltage (electromotive force, EMF) across the conductor, which can drive an.

Learn more about Electromagnetic Induction →

More Electromagnetic Induction Examples

Example 1 easy

A single loop of wire with area [formula] is in a magnetic field that changes from [formula] to [for

Example 3 medium

A bar magnet is pushed into a coil of [formula] turns, increasing the flux through each turn from [f

Example 4 hard

A rectangular loop ([formula]) moves at [formula] into a region with a uniform [formula] magnetic fi

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