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JEE Main 2017 · Capacitors in DC Circuits & RC

Capacitors in DC Circuits & RC question from JEE Main 2017

Q38JEE Main 2017Medium

Capacitors in DC Circuits & RC

In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capacitance C will be:

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Answer: (d)

Steady state: no current through $r_1$ , so current flows only through $r$ and $r_2$ : $I = \dfrac{E}{r+r_2}$ .
Capacitor (with $r_1$ , no drop) is across $r_2$ : $V_C = \dfrac{Er_2}{r+r_2}$
$Q = CV_C = CE\dfrac{r_2}{r+r_2}$
So the answer is (d).

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