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Capacitors

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Question 16

An alternating potential difference square-wave is applied across a series circuit containing a capacitor of capacitance CCC and a resistor of resistance RRR. The period of the input signal is 50 ms50\text{ ms}50 ms.

a.

Calculate the frequency fff of the input square-wave signal.

[2]
b.

The graph shows the variation of the charge QQQ on the positive plate of the capacitor with time ttt.

Graph of Charge Q on the positive plate of a capacitor against time t for two cycles. The vertical axis is Charge Q in microcoulombs (\mu\text{C}) from 0 to 10.0, with divisions every 0.2 \mu\text{C} and major grid lines every 2.0 \mu\text{C}. The horizontal axis is time t in milliseconds (ms) from 0 to 100, with divisions every 1 ms and major grid lines every 10 ms. The curve starts at (0, 1.7 \mu\text{C}), rises as a curve with decreasing gradient (charging) to a peak of (25 ms, 9.0 \mu\text{C}). It then falls as an exponential decay curve (discharging) from (25 ms, 9.0 \mu\text{C}) to a low of (50 ms, 1.7 \mu\text{C}). It passes through the coordinate points (30 ms, 6.5 \mu\text{C}), (40 ms, 3.3 \mu\text{C}), and (50 ms, 1.7 \mu\text{C}). The cycle repeats starting from (50 ms, 1.7 \mu\text{C}), rising to (75 ms, 9.0 \mu\text{C}) and decaying back to (100 ms, 1.7 \mu\text{C}), passing through (90 ms, 3.3 \mu\text{C}).

Create a calculation using the discharging section from t=25 mst = 25\text{ ms}t=25 ms to t=50 mst = 50\text{ ms}t=50 ms to determine the time constant of this circuit in ms\text{ms}ms.

[4]
c.

Calculate the maximum magnitude of the current in the resistor.

[3]

Capacitors Questions

  1. A Level
  2. /Physics
  3. /Capacitors