A capacitor consists of two parallel metal plates, separated by an insulator, as shown in Fig. 7.1. [Figure 7.1]
- (a)Suggest why, when the capacitor is connected across the terminals of a battery, the capacitor stores energy, not charge.[2]
- (b)Define the capacitance of the capacitor.[2]
- (c)The capacitor is charged so that the potential difference between its plates is V₀. The capacitor is then connected across a resistor for a short time. It is then disconnected. The energy stored in the capacitor is reduced to ¹/₁₆ of its initial value. Determine, in terms of V₀, the potential difference across the capacitor. potential difference = ..............................................................[2][2]
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Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [B1] equal and opposite charges on the plates so no resultant charge
- [B1] +ve and -ve charges separated so energy stored
- [M1] charge / potential difference
- [A1] reference to charge on one plate and p.d. between plates
- [C1] energy = ½ CV² or energy = ½ QV and C = Q/V
- [A1] (1/16) × ½ CV₀² = ½ CV² V = ¼ V₀
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