Electromagnetic Induction Physics Example 4

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

Example 4

hard
A rectangular loop (0.1 m×0.2 m0.1 \text{ m} \times 0.2 \text{ m}) moves at 5 m/s5 \text{ m/s} into a region with a uniform 0.3 T0.3 \text{ T} magnetic field. What EMF is induced as the loop enters the field?

Solution

  1. 1
    As the loop enters, the flux increases. Rate of flux change: dΦdt=B×L×v\frac{d\Phi}{dt} = B \times L \times v, where LL is the side entering the field.
  2. 2
    E=BLv=0.3×0.2×5=0.3 V\mathcal{E} = BLv = 0.3 \times 0.2 \times 5 = 0.3 \text{ V}
  3. 3
    Once the loop is fully inside the uniform field, the flux is constant and the EMF drops to zero.

Answer

E=0.3 V\mathcal{E} = 0.3 \text{ V}
A moving conductor in a magnetic field experiences a motional EMF. The EMF exists only while the flux is changing — once the loop is fully inside the uniform field, no further change occurs.

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 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

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