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Consider the circuit shown on the left. VCC = VEE = 14 V. IEE = 0.1 mA. REE = 190 kΩ. RC = 100 kΩ. The two BJTs are identical with β = 100. The two MOSFETs are identical with K = 170 μA/V2 and |VT| = 2 V. v1 and v2 are pure ac sources. Determine the ratio vo v1−v2. (This ratio is called the differential gain).

Consider the circuit shown on the left. VCC = VEE = 14 V. IEE = 0.1 mA. REE = 190 kΩ. RC = 100 kΩ. The two BJTs are identical with β = 100. The two MOSFETs are identical with K = 170 μA/V2 and |VT| = 2 V. v1 and v2 are pure ac sources. Determine the ratio vo v1−v2. (This ratio is called the differential gain).

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Consider the circuit shown on the left. V C C = V E E = 14 V . I E E = 0.1 m A . R E E = 190 k Ω . R C = 100 k Ω . The two BJTs are identical with β = 100 . The two MOSFETs are identical with K = 170 μ A / V 2 and | V T | = 2 V . v 1 and v 2 are pure ac sources. Determine the ratio v o v 1 − v 2 . (This ratio is called the differential gain).

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The differential amplifier above has the following parameters: βo = 150, VCC = 5 V, VEE = 5 V, VBE−on = 0.7 V, REE = 20 kΩ, R1 = 3 kΩ, and RC = 20 kΩ. v1 and v2 are purely AC signals with 0 DC voltage. Determine the following: (a) The DC Q-points for Q1 and Q2. [4 pt. (b) Draw the differential-mode and common-mode AC equivalent half-circuits for the differential amplifier. [ 6 pt. ] (c) What is the differential-mode gain (Add) ? [4 pt. ] (d) What is the common-mode gain (Acm)? [4 pt.] (e) What is the CMRR? [4 pt.] (f) What is the differential-mode input resistance? [4 pt.] (g) What is the common-mode input resistance? [4 pt.]

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[20%] The circuit below is a BJT differential amplifier with VCC = VEE = 3 V. The DC current source IEE is assumed ideal. The two transistors are identical, operate in the active region, and have α = 0.99 and VA = ∞. The thermal voltage VT is 26 mV at room temperature. The input is purely differential, i. e. , vip = −vim = vid/2 a) Draw small-signal differential-mode half circuits of the differential amplifier. ( 5%) b) Express the differential voltage gain Ad, which is defined as (vop−vom)/vid, in terms of IEE, RL, α and VT⋅(6%) c) If IEE = 2 mA, what should be the value of RL to achieve Ad = 40 ? (4%) d) Choose another set of IEE and RL to maintain Ad = 40 while reducing the power consumption by half compared to the situation in part c). (2%) e) What is the maximum Ad that the circuit can achieve if the DC levels at the output nodes vop and vom must be equal to or higher than 0 V? (3%)

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The circuit below is a BJT differential amplifier with VCC = VEE = 3 V. The DC current source IEE is assumed ideal. The two transistors are identical, operate in the active region, and have α = 0.99 and VA = ∞. The thermal voltage VT is 26 mV at room temperature. The input is purely differential, i. e. , vip = −vim = vid/2 a) Draw small-signal differential-mode half circuits of the differential amplifier. (5%) b) Express the differential voltage gain Ad, which is defined as (vop − vom)/vid, in terms of IEE, RL, α and VT⋅(6%) c) If IEE = 2 mA, what should be the value of RL to achieve Ad = 40 ? (4%) d) Choose another set of IEE and RL to maintain Ad = 40 while reducing the power consumption by half compared to the situation in part c). (2%) e) What is the maximum Ad that the circuit can achieve if the DC levels at the output nodes vop and vom must be equal to or higher than 0 V? (3%)

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