Question 18

Two circuits (a) and (b) have charged capacitors of capacitance C, 2C and 3C with open switches. Charges on each of the capacitor are as shown in the figures. On closing the switches

Circuit (a) Circuit (b)

Given initial potentials for circuit (a):

$$V_{L} = \frac{2Q}{3C},\quad V_{R} = \frac{Q}{C}$$

$$V_{R} > V_{L} \implies \text{Charge flows from } R \text{ to } L$$

Given initial potentials for circuit (b):

$$V_{L} = \frac{2Q}{2C} = \frac{Q}{C},\quad V_{R} = \frac{Q}{2C}$$

$$V_{L} > V_{R} \implies \text{Charge flows from } L \text{ to } R$$

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