Physics 9702 · AS & A Level · Capacitors and capacitance

Capacitors and capacitance — practice question

Two capacitors P and Q, each with capacitance $C$, are arranged in series with a battery of e.m.f. $9.0\,\text{V}$, as illustrated in Fig. 6.1. Switch S allows either a third capacitor T, also having capacitance $C$, or a resistor R, to be connected in parallel with capacitor P.
(a(i))[2]

For switch S in position X, calculate the combined capacitance of the three capacitors, in terms of $C$.

(a(ii))[2]

Calculate the potential difference across capacitor Q. Show your working.

(b)[4]

Switch S is now moved to position Y. State what happens to the potential difference across capacitor P and across capacitor Q.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Using the series relation, $1/T = 1/(2C) + 1/C$.

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