Physics 9702 · AS & A Level · Characteristics of alternating currents

Characteristics of alternating currents — practice question

The circuit includes a power supply that supplies a sinusoidal alternating input voltage $V_{\text{IN}}$. An output voltage $V_{\text{OUT}}$ is taken across a load resistor $R$, as illustrated in Fig. 7.1.
(a)[2]

State what the circuit in Fig. 7.1 is designed to do.

(b)

Fig. 7.2 shows how $V_{\text{OUT}}$ changes with time $t$.

(b(i))[2]

The load resistor $R$ has resistance $370\,\Omega$. Show that the greatest power dissipated in $R$ is $0.22\,\text{W}$.

(b(ii))[3]

On Fig. 7.3, sketch how the power $P$ dissipated in $R$ varies with $t$.

(b(iii))[1]

Calculate the mean power dissipated in $R$.

(c)[2]

The circuit of Fig. 7.1 is disconnected, and $R$ is connected directly across the power supply. Explain, without calculation, how the mean power now dissipated in $R$ compares with the answer in (b)(iii).

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: rectification of the input voltage

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