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Q. The ratio of time constant in charging and discharging in the circuit shown in the figure is $\frac{x}{y}$. Find $(x+ y)$Physics Question Image

Electromagnetic Induction

Solution:

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Parallel combination of resistor and battery will give only battery.
So, charging time constant, $\tau_{c}=\frac{L}{2 R}$
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Now $R$ and $2 R$ are in series.
So, discharging time constant, $\tau_{D}=\frac{L}{3 R}$
$\tau_{C}: \tau_{D}=\frac{L}{2 R}: \frac{L}{3 R}=3: 2$