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 connected in series with a high-resistance voltmeter. The magnet is moved vertically and then let go. The change in the voltmeter reading V with time t is shown in Fig. 5.2.
(a(i))[2]

State Faraday’s law for electromagnetic induction.

(a(ii).1)[1]

Use Faraday’s law to explain why the voltmeter gives 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 find the oscillation frequency $f_0$ of the magnet.

(c)[2]

The magnet is now held at rest and the voltmeter is swapped for a variable-frequency alternating current supply that provides a constant r.m.s. current in the coil. The supply frequency is then increased steadily from $0.7 f_0$ to $1.3 f_0$, where $f_0$ is the frequency found in (b). On the axes in Fig. 5.3, sketch a graph to show 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 of 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. varies in proportion to the rate of change of magnetic flux (linkage)

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