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A MOSFET in s...

Question

A MOSFET in saturation has a drain current of $1 m A$ for $V_{D S} = 0.5 V$ . If the channel length modulation coefficient is $0.05 V^{- 1}$ , the output resistance (in $k Ω$ of the MOSFET is
20

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Solution

The correct option is A 20
Under channel length modulation,
$I_{D} = I_{D s a t} (1 + λ V_{D S})$
$\frac{d I_{D}}{d V_{D S}} = \frac{1}{r_{o}} = λ I_{D s a t}$
$r_{o} = \frac{1}{λ I_{D s a t}} = \frac{1}{0.05 \times 10^{- 3}} = 20 k Ω$

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