> Q. Find out the effective capacitance between points A and B as shown in the figure. Here $ce{C_1 = C_2 = 20 , mu F }$ and $ce{C_3 = C_4 = 10 , mu F}$ – LIVE ANSWER TODAY

Q. Find out the effective capacitance between points A and B as shown in the figure. Here $ce{C_1 = C_2 = 20 , mu F }$ and $ce{C_3 = C_4 = 10 , mu F}$

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Find out the effective capacitance between points A and B as shown in the figure. Here $ce{C_1 = C_2 = 20 , mu F }$ and $ce{C_3 = C_4 = 10 , mu F}$

Solution:

Here, $C_1$ and $C_2$ are in series. Hence, their effective capacitance $C′$ is given by

image

$frac{1}{C’}=frac{1}{C_{1}} + frac{1}{C_{2}}$

$frac{1}{C’} =frac{1}{20}+frac{1}{20}$

$ Rightarrow :: C’ = 10 mu F $

Similarly, $frac{1}{C”} = frac{1}{C_3} + frac{1}{C_4}$

$ frac{1}{C”} = frac{1}{10} + frac{1}{10} Rightarrow C” = 5 , mu F$

Here C′ and C″ are in parallel. Hence, the equivalent capacitance between points A and
B is

$C_{AB} = C’ + C” = 10 + 5 = 15 , mu F$

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