Walker, Halliday & Resnick — Capacitance: Problem 9

9 In Fig. 25-21, the battery has potential difference \( V = 14.0\text{ V} \), \( C_2 = 3.0\text{ \mu F} \), \( C_4 = 4.0\text{ \mu F} \), and all the capacitors are initially uncharged. When switch S is closed, a total charge of \( 12\text{ \mu C} \) passes through point \( a \) and a total charge of \( 8.0\text{ \mu C} \) passes through point \( b \). What are (a) \( C_1 \) and (b) \( C_3 \)?