ee541F11HW01

ee541F11HW01 - EE 541 USC Viterbi School of Engineering J....

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EE 541 USC Viterbi School of Engineering J. Choma Homework #01 1 Fall Semester, 2011 U niversity of S outhern C alifornia USC Viterbi School of Engineering Ming Hsieh Department of Electrical Engineering EE 541: Homework Assignment #01 Fall, 2011 Due: 08/31/2011 Choma Problem #01: The model shown within the symbolic network “box” in Figure (P1) is a small signal, and therefore linear, equivalent circuit of an emitter-degenerated, common emitter am- plifier. The amplifier is driven by a voltage source whose Thévenin resistance is R s , and its load termination consists of a resistance, R l in shunt with a capacitance, C l . In this problem, R s = 50 , R l = 1.2 K , R e = 120 , and C l = 300 fF . The transistor model parameters are r b = 120 , r = 3.3 K , r o = 18 K , and = 220 amps/amp . I V s R s R e r b r C l R l I r o I 2 V 2 I 1 V 1 R out R in Figure (P1) (a). Derive analytical expressions for each of the four h-parameters of the degenerated common emitter amplifier. (b). Using the h-parameter expressions deduced in Part (a), derive analytical expressions for the low frequency, open loop values of voltage gain, V 2 /V s , input resistance, R in , and output resistance, R out . (c). Using the h-parameter expressions deduced in Part (a), derive an analytical expression for the low frequency loop gain of the amplifier. Discuss the influence that the emitter degen- eration resistance, R e , has on this loop gain. (d). Using appropriate preceding results, compute numerical, low frequency values for: i. the open loop input resistance; ii. the driving point input resistance; iii. the open loop output resistance; iv. the driving point output resistance; v. the loop gain; vi. the open loop voltage gain; vii. the closed loop voltage gain.
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This note was uploaded on 12/22/2011 for the course EE 541 at USC.

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ee541F11HW01 - EE 541 USC Viterbi School of Engineering J....

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