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Capacitance of Parallel Plate Capacitor

In the adjoin...

Question

In the adjoining figure, the potential difference between X and Y is $60 V$ . The potential difference between the points M and V will be:

A

10 V

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B

15 V

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C

20 V

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D

30 V

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Solution

The correct option is C $30 V$
In series combination potential divides in inverse ration of capacity
$V_{1} : V_{2} : V_{3}$ = $\frac{1}{2 C}$ : $\frac{1}{C}$ : $\frac{1}{2 C}$
$V_{1} : V_{2} : V_{3}$ = $\frac{1}{2}$ : $\frac{1}{1}$ : $\frac{1}{2}$
$V_{1} : V_{2} : V_{3}$ = $1 : 2 : 1$
$V_{2} = \frac{2}{4} \times 60 = 30 V$

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