A 1µF capacitor is connected in the circuit shown below. The emf of the cell is 3 volts and internal resistance is 0.5 ohms. The resistors R1 and R2 have values 4 ohms and 1 ohm respectively. The charge on the capacitor in steady state must be :

Engineering

Physics

RC Circuit

Question

A 1µF capacitor is connected in the circuit shown below. The emf of the cell is 3 volts and internal resistance is 0.5 ohms. The resistors R₁ and R₂ have values 4 ohms and 1 ohm respectively. The charge on the capacitor in steady state must be :

2µC

zero

1.33µC

1µC

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In steady state current in the branch containing the capacitor is zero & hence emf E is shared between r & R₂ = in the ratio of their resistance voltage across R₂ is $\frac{{ER}_{2}}{R_{2} + r} = 2$ Volts = Voltage across capacitor.
∴ Q = CV_C = 2μC.

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