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Question

Physics Question on Capacitors and Capacitance

The equivalent capacitance between the points A and B in the following circuit is:

A

B

2μF2\mu F

C

4μF4\mu F

D

8μF8\mu F

Answer

Explanation

Solution

The two capacitors each of value 1.5μF1.5\,\mu F are in parallel, so their equivalent capacitance. C1=1.5+1.5=3μF{{C}_{1}}=1.5+1.5=3\,\mu F Now, three capacitors each of value 3μF3\,\mu F are in series. Hence, their equivalent capacitance is given by 1C=13+13+13\frac{1}{C}=\frac{1}{3}+\frac{1}{3}+\frac{1}{3} or 1C=33\frac{1}{C}=\frac{3}{3} or C=1μFC=1\,\mu F