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Question

Question: In the circuit shown switch is closed at time t = 0 . Let I<sub>1</sub> and I<sub>2</sub> be the cur...

In the circuit shown switch is closed at time t = 0 . Let I1 and I2 be the currents in both branches at t = 0, then ratio of I1I2\frac{I_{1}}{I_{2}}.

A

I1I2\frac{I_{1}}{I_{2}} = 2 : 1

B

= 1 : 2

C

I1I2\frac{I_{1}}{I_{2}} = 1 : 1

D

I1I2\frac{I_{1}}{I_{2}}= 3RCRC\frac{3RC}{RC}

Answer

I1I2\frac{I_{1}}{I_{2}} = 1 : 1

Explanation

Solution

At t = 0 capacitors acts as short circuit and hence current in both branch I = VR\frac { \mathrm { V } } { \mathrm { R } } .