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A circuit is set up as shown - Scottish Highers Physics - Question 23 - 2022

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A circuit is set up as shown. The capacitor is initially uncharged. Switch S is closed. Which graphs show how the potential difference $V_R$ across resistor R, the ... show full transcript

Worked Solution & Example Answer:A circuit is set up as shown - Scottish Highers Physics - Question 23 - 2022

Step 1

Which graphs show how the potential difference $V_R$ across resistor R varies with time $t$ as the capacitor charges?

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Answer

As the capacitor charges, the potential difference VRV_R across the resistor will initially be at its maximum and will decrease as the capacitor charges up. This can be represented by a graph that starts at a maximum value and gradually approaches zero.

Step 2

Which graphs show how the potential difference $V_C$ across capacitor C varies with time $t$ as the capacitor charges?

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Answer

The potential difference VCV_C across the capacitor starts at zero and increases as the capacitor charges. The graph will exhibit an exponential rise, approaching the maximum potential difference gradually.

Step 3

Which graphs show how the current $I$ in the circuit varies with time $t$ as the capacitor charges?

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Answer

The current II in the circuit starts at its maximum value (when the switch is closed) and then decreases exponentially as the capacitor charges. Eventually, the current approaches zero as the capacitor becomes fully charged.

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