First slide

Magnetic flux and induced emf

Question

In the following figure, the magnet is moved towards the coil with a speed v and induced emf is e. If magnet and coil recede away from one another each moving with speed v, the induced emf in the coil will be

Moderate

A

e
B

2e
C

e/2
D

4e

Solution

$\begin{array}{l} {(\frac{dϕ}{dt})}_{In frstcase} = e \\ {(\frac{dϕ}{dt})}_{relative velocity 2 v} = 2 {(\frac{dϕ}{dt})}_{I case} = 2 e \end{array}$

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