QuestionDecember 17, 2025

10. If you move a magnet in and out of a coil faster will the induced current be stronger or weaker? Explain.

10. If you move a magnet in and out of a coil faster will the induced current be stronger or weaker? Explain.
10. If you move a magnet in and out of a coil faster will the induced current be stronger or weaker? Explain.

Solution
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Answer

The induced current will be stronger. Explanation 1. State Faraday’s Law According to **Faraday’s Law**, |\mathcal{E}| = |-\frac{d\Phi_B}{dt}|, where \mathcal{E} is induced emf and \Phi_B is magnetic flux. 2. Relate Speed to Rate of Change of Flux Moving the magnet faster increases \frac{d\Phi_B}{dt}, so induced emf increases. 3. Connect Emf to Induced Current By **Ohm’s Law**, I = \frac{\mathcal{E}}{R}; higher emf means stronger current (if resistance is constant).

Explanation

1. State Faraday’s Law<br /> According to **Faraday’s Law**, $|\mathcal{E}| = |-\frac{d\Phi_B}{dt}|$, where $\mathcal{E}$ is induced emf and $\Phi_B$ is magnetic flux.<br />2. Relate Speed to Rate of Change of Flux<br /> Moving the magnet faster increases $\frac{d\Phi_B}{dt}$, so induced emf increases.<br />3. Connect Emf to Induced Current<br /> By **Ohm’s Law**, $I = \frac{\mathcal{E}}{R}$; higher emf means stronger current (if resistance is constant).
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