Consider the circuit shown in the figure below-The input to the ideal op-amp is given as 1 V- the MOSFET which is connected in the feedback path has -oCoxW2L-10 mA-V2 and a threshold voltage VT-1 V- If the effect of channel length modulation of the MOSFET is negligible- then the output voltage V0 will be equal to V-

nbsp; nbsp; nbsp;I_D=11×10^3=1 mA Now, since the op amp is ideal, nbsp; nbsp; nbsp;I_D=1_D=1 mA nbsp; nbsp; nbsp;V_0= V_GS Now, ...

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Consider the ...

Question

Consider the circuit shown in the figure below.

The input to the ideal op-amp is given as 1 V, the MOSFET which is connected in the feedback path has $\frac{μ_{o} C_{o x} W}{2 L} = 10 m A / V^{2}$ and a threshold voltage $V_{T} = 1 V .$ If the effect of channel length modulation of the MOSFET is negligible, then the output voltage $(V_{0})$ will be equal to __________V.

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Solution

$I_{D} = \frac{1}{1 \times 10^{3}} = 1 m A$
Now, since the op-amp is ideal,

$I_{D} = 1_{D} = 1 m A$

$V_{0} = - V_{G S}$

Now, $I_{D} = K_{p} {(V_{G S} - V_{i})}^{2}$

$1 \times 10^{- 3} = 10 \times 10^{- 3} {(V_{G S} - V_{T})}^{2}$

Now, $\frac{1}{10} = {(V_{G S} - V_{T})}^{2}$

$V_{G S} = \frac{1}{\sqrt{10}} + V_{T} = 1 + \frac{1}{\sqrt{10}} = 1.316 V$

Now, $V_{D} = - V_{G S} = - 1.316 V$

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