### Problem regarding the equilibrium value

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1. For the MOS differential pair in Fig. 9.5, specify the value of vid ≡ vG1 /vG2, in terms of VOV , that

(a) causes iD1 to increase by 10% above its equilibrium value of I/2.

(b) makes iD1/iD2 = 1.0; 2.0; 1.1; 1.01; 20

2. An NMOS differential amplifier is operated at a bias current I of 0.2 mA and has a W/L ratio of 32, μnCox =200 μA/V2, VA =10 V, and RD =10 kΩ. Find VOV , gm, ro, and Ad .

3. It is required to design an NMOS differential amplifier to operate with a differential input voltage that can be as high as 0.1 V while keeping the nonlinear term under the square root in Eq. (9.23) to a maximum of 0.04. A transconductance gm of 2 mA/V is needed and the amplifier is required to provide a differential output signal of 1 V when the input is at its maximum value. Find the required values of VOV , I, RD, and W/L. Assume that the technology available has μnCox =200 μA/V2 and λ = 0.

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