Explanation Given: The given circuit is shown in Figure 1. Calculation: Also, A v f is 8 and output voltage is zero for the zero input voltage. The expression for the value of the current I D Q 1 is given by, I D Q 1 = ( k ′ n 2 ) ( W L ) ( V G S − V T N ) 2 Substitute 0.5 mA for I D Q 1 , 20 for W L , 0.1 mA / V 2 for k ′ n and 1.5 V for V T N in the above equation. 0.5 mA = ( 0.1 mA / V 2 2 ) ( 20 ) ( V G S − 1.5 V ) 2 V G S = 2.941 V The expression to determine the value of the resistance R D is given by, R D = 12 V − V G S 0.5 mA Substitute 2.941 V for V G S in the above equation. R D = 12 V − 2.941 V 0.5 mA = 18.2 k Ω The small signal diagram for the given circuit is shown in Figure 2 The expression to determine the value of the gate to source voltage of the second transistor is given by, v g s 2 = − v g s 1 The expression for the input voltage is given by, V i = − 2 v g s 2 + V A The expression for the voltage V A is given by, V A = ( R 1 R 1 + R 2 ) V O The expression for the voltage v g s 2 is given by, v g s 2 = 1 2 ( V A − V i ) = 1 2 ( R 1 R 1 + R 2 ) V O − 1 2 V i The value of the transconductance parameter for transistor one is calculated as, g m 1 = 2 ( 0.1 mA / V 2 2 ) ( 20 ) ( 0.5 mA ) = 1.414 mA / V The value of the transconductance parameter for transistor third is calculated as, g m 3 = 2 ( 0.1 mA / V 2 2 ) ( 20 ) ( 2 mA ) = 2.828 mA / V Apply KCL at the right most node. V O ( 1 R L + 1 R 1 + R 2 ) = g m 3 ( − g m 1 v g s 2 R D − V O ) Substitute 1 2 ( R 1 R 1 + R 2 ) V O − 1 2 V i for v g s 2 in the above equation

Microelectronics: Circuit Analysis and Design

4th Edition

ISBN: 9780073380643

Author: Donald A. Neamen

Publisher: McGraw-Hill Companies, The

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Chapter 12, Problem D12.44P

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The design parameters for the circuit.

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Chapter 12, Problem D12.43P

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Chapter 12 Solutions

Microelectronics: Circuit Analysis and Design

Ch. 12 - (a) The open-loop gain of an amplifier is A=5104...Ch. 12 - (a) Consider a general feedback system with...Ch. 12 - (a) A feedback amplifier has an open-loop...Ch. 12 - (a) Consider the circuit shown in Figure...Ch. 12 - (a) The closed-loop gain of a feedback amplifier...Ch. 12 - The gain factors in a feedback system are A=5105...Ch. 12 - Prob. 12.3TYU Ch. 12 - An ideal series-shunt feedback amplifier is shown...Ch. 12 - Consider the ideal shunt-series feedback amplifier...Ch. 12 - An ideal series-series feedback amplifier is shown...

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The design parameters for the circuit.

Solution Summary: The author calculates the value of the resistance R_2 and the output voltage is zero for the zero input voltage.

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The design parameters for the circuit.

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Chapter 12 Solutions