Physics 9702 · AS & A Level · Electromagnetic induction

Electromagnetic induction — practice question

Fig. 9.1 shows an ideal transformer.
(a(i))[1]

Explain why iron is chosen for the core.

(a(ii))[2]

Explain why an electromotive force (e.m.f.) is not induced at the output when the input is a constant direct voltage.

(b)

An alternating voltage with peak value $150\,\text{V}$ is applied across the $1200$ turns of the primary coil. Fig. 9.2 shows how the induced e.m.f. $E$ across the secondary coil varies with time $t$.

(b(i))[2]

Use the information in Fig. 9.2 to calculate the number of turns in the secondary coil.

(b(ii))[1]

State one time when the magnetic flux linking the secondary coil is a maximum.

(c(i))[2]

A resistor is connected across the output terminals of the secondary coil. The mean power dissipated in the resistor is $1.2\,\text{W}$. You may assume that the alternating voltage across the resistor is the same as the varying e.m.f. $E$ shown in Fig. 9.2. Calculate the resistance of the resistor.

(c(ii))[3]

On Fig. 9.3, sketch the way the power $P$ dissipated in the resistor varies with time $t$ for $t = 0$ to $t = 22.5\,\text{ms}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: raise flux linkage so flux loss is reduced

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