Consider a circuit consisting of a capacitor (20), resistor (100 Ω)… | JEE Main 2026 (4 Apr, Shift 1)

Q21JEE Main 2026 · 4 APR · SHIFT 1Difficult

P-N Junction Diode

Consider a circuit consisting of a capacitor $(20\,\mu\text{F})$ , resistor $(100\,\Omega)$ and two identical diodes as shown in figure. The resistance of diode under forward biasing condition is $10\,\Omega$ . The time constant of the circuit is $\alpha \times 10^{-3}\text{ s}$ . The value of $\alpha$ is ______

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Answer: (a)

The two diodes are in parallel but opposite, so for either current direction exactly one is forward biased ( $10\ \Omega$ ) and the other is open.
Total resistance in series with $C$ : $R = 100 + 10 = 110\ \Omega$ .
$\tau = RC = 110 \times 20 \times 10^{-6} = 2.2 \times 10^{-3}$ s.
So $\alpha = 2.2$ , answer (a).

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