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Question

Physics Question on Capacitors and Capacitance

The effective capacitance between the points AA and BB in the circuit shown in (μF)(\mu F) is (capacitance of each capacitor is(μF)(\mu F)

A

2

B

4

C

3

D

0.4

Answer

0.4

Explanation

Solution

Capacitance of 2 capacitors in parallel = 1 + 1 = 2μ\muF
Capacitance of 1 μ\muF, 2μ\muF and 1 μ\muF in series is given by, 1C=11+12+11=2+1+22=52\frac{1}{C} = \frac{1}{1} + \frac{1}{2} + \frac{1}{1} = \frac{2 + 1 + 2}{2} = \frac{5}{2}
i.e.i.e. C = 25=0.4μF\frac{2}{5} = 0.4 \, \mu \, F