Answer: a) 38.73 V ; b) 0.67 μ F
Explanation: In order to solve this problem we have to take into account the expression used for the capacitor and its conection in a circuit.
We know that C=Q/V then Q= 11,1 μC and C1=1.03 µF
V1=Q/C1=11.1 μC/1.03* µF= 10.77 V so as the positive plate is at 49.5 V then negative plate is 38.73 V.
The capaciro equivalent for a seri connection is given by;
1/Cequi=1/c1+1/c2= (1/ 1.03 µF )+ (1/ 1,98 µF)= 0.67 µF