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Physics (AS & A Level) · Oct / Nov 2016 · Paper 53 · Question 2

9702

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A student is investigating a circuit containing capacitors. The capacitors are initially uncharged. A capacitor of capacitance Y is charged by connecting it to a power supply. The charge is then shared with another capacitor of capacitance C connected between the terminals P and Q, as shown in Fig. 2.1. V E P Q Y C Fig. 2.1 A voltmeter is used to measure the maximum potential difference V between P and Q. The experiment is repeated by adding additional capacitors, each of capacitance C, in series between P and Q. The total capacitance X between P and Q may be determined by the equation X = C n where n is the number of capacitors in series. It is suggested that V and X are related by the equation YE = (X + Y )V where E is the e.m.f. of the power supply. 1

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