Three capacitors C1 936 nF C2 870 nF and C3 2357 F are con

Three capacitors, C₁= 936 nF, C₂ = 870 nF and C₃ = 235.7 F, are connected in series across a 74 V voltage source, E.

Calculate the total charge, Q_T, held on the three capacitors.

please show full working out

Solution

As capacitor are connected in series, hence charge on each capacitor will be same

Let q= charge on each capacitor.

V1= voltage across capacitor c1= q/c1

V2= voltage across c2= q/c2

V3= voltage across capacitor c3= q/c3

Apply KVL: v1+v2+v3= E

q(1/c1+1/c2+1/c3)= 74

q= 33.3 micro C.

Total charge held on three capacitor= 33.3 micro c