Three capacitors of capacitances 4 $\mu$F, 6$\ \mu$F and 12 $\mu$F are connected first in series and then in parallel. What is the ratio of equivalent capacitance in the two cases?

Question

Dr. Abubacker · Accepted Answer

(b) $\frac{1}{C_{s}} = \frac{1}{4} + \frac{1}{6} + \frac{1}{12} = \frac{3 + 2 + 1}{12} = \frac{6}{12} = \frac{1}{2}$
$C_{s} = 2\ \mu F$
$C_{p} = 4 + 6 + 12 = 22\ \mu F$
$\frac{C_{s}}{C_{p}} = \frac{2}{22} = \frac{1}{11}$

Q. Three capacitors of capacitances 4 $\mu$F, 6$\ \mu$F and 12 $\mu$F are connected first in series and then in parallel. What is the ratio of equivalent capacitance in the two cases?

Explanation

Reviewed by Dr. Abubacker

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