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

1. $e$
2. $2e$
3. $e/2$
4. $4e$

Correct answer: $2e$

Solution

When the magnet moves toward the coil with speed $v$, the flux changes at a certain rate producing emf $e$. If both the magnet and coil move away from each other, each with speed $v$, the relative speed becomes $2v$, so the rate of change of flux doubles. Therefore the induced emf becomes $2e$.

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