Physics 9702 · AS & A Level · Electromagnetic induction

Electromagnetic induction — practice question

A bar magnet hangs vertically from the free end of a helical spring, as shown in Fig. 5.1. One pole of the magnet lies inside a coil. The coil is joined in series to a high-resistance voltmeter. The magnet is pulled vertically and then released. Fig. 5.2 shows how the voltmeter reading V changes with time t.
(a(i))[2]

State Faraday’s law governing electromagnetic induction.

(a(ii).1)[1]

Use Faraday’s law to explain why the voltmeter shows a reading.

(a(ii).2)[1]

Use Faraday’s law to explain why this reading changes in magnitude.

(a(ii).3)[1]

Use Faraday’s law to explain why the reading takes both positive and negative values.

(b)[2]

Use Fig. 5.2 to determine the oscillation frequency $f_0$ of the magnet.

(c)[2]

The magnet is now brought to rest and the voltmeter is replaced with a variable-frequency alternating current supply that keeps a constant r.m.s. current in the coil. The supply frequency is slowly increased from $0.7 f_0$ to $1.3 f_0$, where $f_0$ is the frequency found in (b). On the axes of Fig. 5.3, sketch a graph showing how the amplitude $A$ of the new oscillations of the bar magnet varies with frequency $f$.

(d(i))[1]

Name the phenomenon shown by your completed graph in Fig. 5.3.

(d(ii))[1]

State one situation in which the phenomenon named in (i) is useful.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Induced e.m.f. is proportional to the rate of change of magnetic flux or flux linkage

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