ON23 P42 Q6 Capacitor Discharge Linear Graph| Oct/Nov 2023 | Cambridge A Level 9702 Physics

9702/42/O/N/23
6 A capacitor C is charged so that the potential difference (p.d.) V across its terminals is 8.0 V. The capacitor is connected into the circuit of Fig. 6.1.
The switch is initially open. The switch is closed at time t = 0.
(a) Fig. 6.2 shows the variation of V with the charge Q on the plates of capacitor C as the capacitor discharges.
(i) Show that the energy stored in capacitor C at time t = 0 is 1.8 mJ.
(ii) Determine the capacitance of capacitor C. Give a unit with your answer.
Fig. 6.3 shows the variation with t of -ln  V
8.0 V.
(i) Show that, when t is equal to one time constant, the value of -ln  V
8.0 V is equal to 1.0.
(ii) Determine the time constant τ of the circuit in Fig. 6.1.
(iii) Calculate the resistance of resistor R.
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