A student investigates a circuit containing capacitors. The circuit is connected with a capacitor of capacitance $$$A$$$, as shown in Fig. 2.1. Two capacitors, each of capacitance $$$C$$$, are connected in parallel between $$$P$$$ and $$$Q$$$. Initially, switch X and switch Z are closed and switch Y is open. Switches X and Z are opened. Switch Y is then closed. The maximum potential difference between $$$P$$$ and $$$Q$$$ is measured using the voltmeter. This procedure is repeated and the mean maximum potential difference $$$V$$$ between $$$P$$$ and $$$Q$$$ is determined. The experiment is then repeated by changing the number $$$n$$$ of capacitors, each of capacitance $$$C$$$, connected in parallel between P and Q . It is suggested that $$$V$$$ and $$$n$$$ are related by the equation $$\[ E A=V(n C+A) \]$$ where $$$E$$$ is the electromotive force (e.m.f.) of the battery. （e）The experiment is repeated with 10 capacitors，each of capacitance $$$C$$$ ，connected in parallel between P and Q ．Determine the maximum potential difference $$$V$$$ between P and Q ． V = ......................................................V V［1］

Physics

IGCSE&ALevel

CAIE

Exam No：9702_s25_qp_52 Year：2025 Question No：2(e)

Answer:

Knowledge points:

19.1.1 define capacitance and the farad, as applied to both isolated conductors and to parallel plate capacitors

19.1.2 recall and use C = $\frac{Q}{V} $

19.1.3 derive, using the formula , conservation of charge and the addition of potential differences, formulae for combined capacitance for capacitors in series and in parallel

19.1.4 solve problems using the capacitance formulae for capacitors in series and in parallel

19.2.1 deduce, from the area under a potential-charge graph, the equation and hence

Answer:

Knowledge points:

Solution:

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