Question

The total capacitance of the two condensers is 0.03 microFarad when connected in series and 0.16 microFarad when connected in parallel. Find the capacitance of the condensers in microfarad?

Answer 1

Let the Capacitance of be C1 & C2

When in series

C=(C1*C2)/(C1+C2)=0.03F

When in Parallel

C=C1+C2=0.16F

C1*C2=0.03 x 0.16 = 0.0048F

Now, a quadratic will be formed

C1^2–0.16C1+0.0048=0

C1=0.12,0.04

Hence values of Capacitances are 0.12F & 0.04F.