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  4. A capacitor is discharged through a resistance in RC circuit. The variation of loge i with time t is shown by a dotted line in the figure, where i is the discharging current. If the resistance in the circuit be doubled, the variation of loge i with time t would be best represented by the line

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Q. A capacitor is discharged through a resistance in $ RC $ circuit. The variation of $ log_e \,i $ with time $ t $ is shown by a dotted line in the figure, where $ i $ is the discharging current. If the resistance in the circuit be doubled, the variation of $ log_e\, i $ with time $ t $ would be best represented by the linePhysics Question Image

AMUAMU 2013Alternating Current

Solution:

In $R-C$ circuit $i = \frac{E}{R} e^{-t/RC}$
$\therefore log_e \,i = \frac{-t}{RC} + log_e \frac{E}{R}$
Value of $R$ is double, the slope of curve will increase.
At $t =0$, for increased value of resistance, current will be minimum.