The I-V characteristics of a p-n junction diode in forward bias is… | JEE Main 2022 (26 Jun, Shift 1)

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P-N Junction Diode

The I-V characteristics of a p-n junction diode in forward bias is shown in the figure. The ratio of dynamic resistance, corresponding to forward bias voltage of 2 V and 4 V respectively, is:

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Answer: (b)

Dynamic resistance $r_d = \dfrac{\Delta V}{\Delta I}$ , taken from the small segment of the curve near each voltage.
Near $2$ V: $r_1 = \dfrac{2.1 - 2}{(10 - 5)\times 10^{-3}} = \dfrac{0.1}{5\times 10^{-3}} = 20\ \Omega$
Near $4$ V: $r_2 = \dfrac{4.2 - 4}{(250 - 200)\times 10^{-3}} = \dfrac{0.2}{50\times 10^{-3}} = 4\ \Omega$
$r_1 : r_2 = 20 : 4 = 5 : 1$
So the answer is (b) $5:1$ .

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