In the Network shown in figure, C1 = 6 μF and C = 9μF. The equivalent capacitance between points P and Q is
(a) 3 μF
(b) 6 μF
(c) 9 μF
(d) 12 μF
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In the Network shown in figure, C1 = 6 μF and C = 9μF. The equivalent capacitance between points P and Q is
(a) 3 μF
(b) 6 μF
(c) 9 μF
(d) 12 μF
In the Network shown in figure, C1 = 6 μF and C = 9μF. The equivalent capacitance between points P and Q is
(a) 3 μF
(b) 6 μF
(c) 9 μF
(d) 12 μF
Correct Option (a) 3 μF
Explanation
The last three capacitors on teh right. Each of capacitance C = μF are in series and are equivalent to a capacitance C’ given by
1/C’ = 1/9+1/9+1/9 = 1/3
or C’ = 3μF
Since C’ is in parallel with C1, the equivalent capacitance of the last part of the network is C” = C’ + C1 = 3 + 6 = 9 μF.