MC 17 Consider the circuit shown in the diagram to the right. All three resistan

Question

MC 17 Consider the circuit shown in the diagram to the right. All three resistances are equal, and before the switch is closed, the circuit had been sitting with the switch open for a long time. Select the correct comparison of the value seen on the ammeter a long time after the switch is closed [I()]

MC 17 Consider the circuit shown in the diagram to the right. All three resistances are equal, and before the switch is closed, the circuit had been sitting with the switch open for a long time. Select the correct comparison of the value seen on the ammeter a long time after the switch is closed I(oo)] with the value seen on it immediately after the switch is closed I(0)]. a. (o) (1/2) I(0) b. I(o) (2/3) I(0) c. I(20) (3/2) I(0) (o) 2100) e. I(00) 3 100) WW ww

Explanation / Answer

Here ,

just after closing the circuit

inductor will behave as an open circuit

and the capacitor will be an short ciccuit

I(0) = E/R

while after a long time , the inductor will be an short circuit and the capacitor will be an open circuit

I(infinite) = E/(R*R/(R + R)) = 2*E/(R)

hence ,

I(infinite) = 2 * I(0)

the correct option is d

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