Question 584: Electrostatics & Capacitance

Question

In the arrangement of the capacitors as shown in figure, each capacitor is of 6 $$\mu$$F, then equivalent capacity between points A and B is

Accepted Answer

C$$_1$$ = C$$_2$$ = C$$_3$$ = C$$_4$$ = 6 $$\mu$$F
C$$_2$$ and C$$_3$$ are in parallel.
Hence their equivalent capacitance, C$$_5$$ = 2 $$	imes$$ 6 = 12 $$\mu$$F
C$$_5$$ and C$$_1$$ in series.
Hence their equivalent capacitance C$$_6$$ is given by
$${1 \over {{C_6}}} = {1 \over {12}} + {1 \over 6} = {3 \over {12}} = {1 \over 4}$$
$$	herefore$$ C$$_6$$ = 4 $$\mu$$F
C$$_6$$ and C$$_4$$ are in parallel.
Hence their equivalent capacitance is C = 4 + 6 = 10 $$\mu$$F

Answer

12 $$\mu$$F

Answer

6 $$\mu$$F

Answer

4 $$\mu$$F

Answer

10 $$\mu$$F

Electrostatics & Capacitance

In the arrangement of the capacitors as shown in figure, each capacitor is of 6 $\mu$F, then equivalent capacity between points A and B is

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