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2. A capacitor, a battery of electromotive force (e.m.f.) 12 V, a resistor R and a two-way switch are connected in the circuit shown in

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2. A capacitor, a battery of electromotive force (e.m.f.) 12 V, a resistor R and a two-way switch are connected in the circuit shown in Fig. 5.1. R 12V Fig. 5.1 The switch is initially in position S. When the capacitor is fully charged, the switch is moved to position T so that the capacitor discharges. At time t after the switch is moved the charge on the capacitor is Q. The variation with t of In(Q/HC) is shown in Fig. 5.2. 3 TL In (Q/UC) US Fig. 5.2 A) Show that the capacitance of the capacitor is 1.5 pF. [ 3 ] B) Determine the resistance of R. [ 3 ] C) Calculate the energy stored in the capacitor at time t = 0. [ 2 ] A second identical resistor is now connected in parallel with R. The switch is initially in position S. When the capacitor is fully charged, the switch is moved to position T so that the capacitor discharges. At time t after the switch is moved the charge on the capacitor is Q. D) On Fig. 5.2, sketch a line to show the variation of In(Q/HC) with t between time t = 0 and time t = 5.0s. [ 2 ]

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