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Q.

In the circuit shown in figure the switch S is initially open and both the capacitors are initially uncharged. Find the ratio of current through  2Ω resistor, just after the switch S is closed and a long time after the switch S is closed. 
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answer is 4.5.

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Detailed Solution

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I0=62=3AJust after switch is closed, as both capacitors are uncharged, we have current flow as
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Long time after switch is closed, both capacitor reach their steady state condition. Now the current flow is
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Is=62+7=69A
ratio =I0Is=4.5
 

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In the circuit shown in figure the switch S is initially open and both the capacitors are initially uncharged. Find the ratio of current through  2Ω resistor, just after the switch S is closed and a long time after the switch S is closed.