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Kirchoff's Voltage Law

A long-channe...

Question

A long-channel NMOS transistor is biased in the linear region with $V_{D S} = 50 m V$ and is used as a resistance. Which one of the following statements is NOT correct?

A

If the device length L is increased, the resistance increase.

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B

If

V_{G S}

is increased,the resistance increases.

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C

If the threshold voltage is reduced, the resistance decreases.

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D

If the device width W is increased, the resistance decreases.

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Solution

The correct option is B If $V_{G S}$ is increased,the resistance increases.
Ans : (d)

$r_{d s} = \frac{1}{μ_{n} C_{o x} \frac{W}{L} (V_{G S} - V_{T})}$
$r_{d s}$ = Channel resistance
$W ↑ r ↓\to$ A correct
$V_{T} ↓ r ↓ B \to$ correct
$L ↑ r ↑ C \to$ correct
$V_{G S} ↑ r ↓ ∴ D \to$ Wrong statement

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