Physics 9702 · AS & A Level · Electromagnetic induction

Electromagnetic induction — practice question

A small coil of wire lies in a non-uniform magnetic field, as illustrated in Fig. 10.1. The coil contains 40 turns of wire and travels in a straight line at constant speed. Its displacement from a fixed point $P$ is $x$. Fig. 10.2 shows how the magnetic flux $\phi$ in the coil varies with $x$.
(a(i))[1]

The coil is driven at constant speed from point $P$ to the position where $x = 3.0\,\text{cm}$. Calculate the change in magnetic flux linkage of the coil.

(a(ii))[2]

The induced e.m.f. in the coil is $5.0 \times 10^{-4}\,\text{V}$. Determine the coil’s speed.

(b)[2]

On Fig. 10.3, sketch how the e.m.f. $E$ induced in the coil varies with $x$ for $x = 0$ to $x = 6.0\,\text{cm}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The correct change in flux linkage is $8.0\times10^{-5}\,\text{Wb}$.

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