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Transformers

In the circui...

Question

In the circuit shown in figure, the steady state voltage drop across the capacitor is :

A

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B

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C

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D

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Solution

The correct option is
D

During steady state the current through the capacitor is zero. We have,

$T h e r e f o r e, i = \frac{v}{R_{1} + R_{2}}$
$V_{1} i s t h e v o l t a g e a c r o s s R_{2} a n d a l s o a c r o s s t h e c a p a c i t o r .$
$V_{1} = i R_{2}$
$= \frac{V R_{2}}{R_{1} + R_{2}}$

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