A pure inductor L, a capacitor C and a resistance R are connected across a battery of emf E and internal resistance r as shown in figure. Switch S_w is closed at t = 0, select the correct alternative(s).

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Current through resistance R is zero all the time

Maximum energy stored in the inductor is equal to the maximum energy stored in the capacitor

Maximum charge stored in the capacitor is CE

Current through resistance R is zero at t = 0 and $t \to \infty$

answer is B.

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Detailed Solution

At t = 0, charge on C is zero, so p.d. across C is zero, p.d. across R is also zero. Hence there is no current in R. At $t \to \infty$ , current through L is maximum and constant, so
p.d. across L is zero, therefore p.d. across R is zero. Hence no current in R.

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