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Question

Question: In the circuit diagram shown in the adjoining figure, the resultant capacitance between P and Q is ...

In the circuit diagram shown in the adjoining figure, the resultant capacitance between P and Q is

A

47μF47\mu F

B

3μF3\mu F

C

60μF60\mu F

D

10μF10\mu F

Answer

3μF3\mu F

Explanation

Solution

The given circuit can be drawn as

where C=(3+2)μF=5μFC = (3 + 2)\mu F = 5\mu F

1CPQ=15+120+112=2060=13\frac{1}{C_{PQ}} = \frac{1}{5} + \frac{1}{20} + \frac{1}{12} = \frac{20}{60} = \frac{1}{3}

CPQ=3μFC_{PQ} = 3\mu F