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The graph shows the variation of potential difference (pd) with charge for a capacitor while it is charging - AQA - A-Level Physics - Question 25 - 2018 - Paper 2

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The graph shows the variation of potential difference (pd) with charge for a capacitor while it is charging. Which statement can be deduced from the graph? A. The ... show full transcript

Worked Solution & Example Answer:The graph shows the variation of potential difference (pd) with charge for a capacitor while it is charging - AQA - A-Level Physics - Question 25 - 2018 - Paper 2

Step 1

A. The charging current is constant.

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Answer

The graph shows a linear relationship between potential difference (pd) and charge. This does not indicate that the charging current is constant, as the charging current would typically decrease as the capacitor charges. Therefore, this statement is not correct.

Step 2

B. The energy stored in the capacitor increases uniformly with time.

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The energy stored in a capacitor is given by the formula E=12QVE = \frac{1}{2} Q V, where EE is the energy, QQ is the charge, and VV is the potential difference. The relationship in the graph implies that energy does not increase uniformly over time, as the charging process isn't linear. Thus, this statement is also incorrect.

Step 3

C. The capacitance of the capacitor is constant.

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The relationship between pd and charge determined from the graph suggests a linear characteristic, indicating that capacitance (defined as C=QVC = \frac{Q}{V}) remains constant. This statement aligns with the characteristics of a capacitor and is therefore correct.

Step 4

D. The power supply used to charge the capacitor had a constant terminal pd.

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Answer

The graph indicates that the potential difference increases with charge, rather than remaining constant. Hence, this statement is incorrect.

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