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Kirchhoff's Voltage Law

Determine the...

Question

Determine the current through the battery in the circuit shown in figure. After a long time:

\frac{E}{R_{2} + R_{3}}

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\frac{2 E}{R_{1} + R_{3}}

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\frac{E}{2 R_{1} + R_{3}}

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\frac{E}{R_{1} + R_{3}}

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Solution

The correct option is C $\frac{E}{R_{1} + R_{3}}$
After long time switch S is closed, the both capacitors $C_{1}, C_{2}$ are fully charged and no current will pass through them. So the current $I$ drawn from the battery will flow only the resistances $R_{1}, R_{3}$ .
Thus, $I = E / (R_{1} + R_{2})$

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