Physics 9702 · AS & A Level · Electromagnetic induction

Electromagnetic induction — practice question

Fig. 10.1 illustrates a basic transformer with a laminated iron core, having a primary coil with 25 000 turns and a secondary coil with 625 turns. The output potential difference (p.d.) $V_{\text{OUT}}$ is connected across a load resistor of resistance $640\,\Omega$.
(a(i))[1]

State what the iron core does.

(a(ii))[2]

Explain the reason the iron core is laminated.

(b(i))[1]

The input p.d. $V_{\text{IN}}$ is a sinusoidal alternating voltage with peak value $12\,\text{kV}$ and period $40\,\text{ms}$. Calculate the greatest value of $V_{\text{OUT}}$.

(b(ii))[1]

Calculate the root-mean-square (r.m.s.) current through the load resistor.

(b(iii))[3]

On Fig. 10.2, sketch how the power $P$ dissipated in the load resistor varies with time $t$ from $t = 0$ to $t = 40\,\text{ms}$. Take $P = 0$ when $t = 0$.

(c)[2]

Explain, using Fig. 10.2, why the mean power in the load resistor is $70\,\text{W}$.

(a(iii))[3]

On Fig. 10.2, sketch how the power $P$ dissipated in the load resistor varies with time $t$ for $t = 0$ to $t = 40\,\text{ms}$. Assume $P = 0$ at $t = 0$.

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