Electromagnetic Induction Physics Example 1

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Example 1

easy
A single loop of wire with area 0.05 m20.05 \text{ m}^2 is in a magnetic field that changes from 0.8 T0.8 \text{ T} to 0.2 T0.2 \text{ T} in 0.3 s0.3 \text{ s}. What is the induced EMF?

Solution

  1. 1
    Change in magnetic flux: ΔΦ=ΔB×A=(0.2−0.8)×0.05=−0.03 Wb\Delta\Phi = \Delta B \times A = (0.2 - 0.8) \times 0.05 = -0.03 \text{ Wb}.
  2. 2
    Induced EMF (Faraday's law, N=1N = 1): E=−ΔΦΔt=−−0.030.3=0.1 V\mathcal{E} = -\frac{\Delta\Phi}{\Delta t} = -\frac{-0.03}{0.3} = 0.1 \text{ V}
  3. 3
    The magnitude of the induced EMF is 0.1 V0.1 \text{ V}.

Answer

E=0.1 V\mathcal{E} = 0.1 \text{ V}
Electromagnetic induction occurs whenever the magnetic flux through a conducting loop changes. The induced EMF is proportional to the rate of change of flux, as stated by Faraday's law.

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 2 medium

A coil with [formula] turns and area [formula] is rotated from perpendicular to parallel to a [formu

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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