ON22 P41 Q5 Capacitor Discharged, induced emf
9702/41/O/N/22: A capacitor of capacitance 470 μF is connected to a battery of electromotive force (e.m.f.) 24 V in the circuit of Fig. 5.1. The two-way switch S is initially at position X. P and Q are identical long straight wires, each with a resistance of 5.6 kΩ. These wires are placed near to, and parallel to, each other. Wire Q is connected to a voltmeter. At time t = 0, switch S is moved to position Y so that the capacitor discharges through wire P. #9702w22p41 #Lv2
(a) (i) Calculate the charge Q0 on the capacitor at time t = 0.
(ii) Calculate the current I0 in wire P at time t = 0.
(iii) Calculate the time constant τ of the discharge circuit.
(iv) On Fig. 5.2, sketch a line to show the variation with t of the current I in wire P as the capacitor discharges.
(b) (i) Explain why there is an induced e.m.f. across wire Q during the discharge of the capacitor.
(ii) On Fig. 5.3, sketch a line to suggest the variation with t of the voltmeter reading V.
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