Question

Three capacitor each of capacitance 9 micro F . In how many ways can they combine? What will the effect capacitance in each case?
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Answer 1

Capacitance of each of the three capacitors, C = 9 pF

Equivalent capacitance (C') of the combination of the capacitors is given by the relation,

$\frac{1}{c} = \frac{1}{c1} + \frac{1}{c2} + \frac{1}{c3} \\ \frac{1}{9} + \frac{1}{9} + \frac{1}{9} = \frac{3}{9} = \frac{1}{3} \\ c = 3$

Therefore, total capacitance of the combination is 3µF.

The capacitors can be combined in series in three ways.