# HW4 - ECE 2100 Homework 4 Professor Alyssa Apsel Subjects...

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ECE 2100 Homework 4 Professor Alyssa Apsel Subjects: Sinusoidal steady-state analysis, phasors, complex impedance, complex circuit analysis, AC power transfer, transformers, mutual inductance. 1) Prelab: Looking at the overlaid input/output sinewaves below, extract: -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 0 0.2 0.4 0.6 0.8 1 1.2 time, microseconds Voltage Input Output a. The frequency in Hz. b. The frequency in radians per second. c. The change in amplitude between input and output (that is the ratio of output to input amplitudes) d. The change in phase between input and output (Remember that time delay corresponds to negative phase) e. Write the transformation from input to output as a phasor, and as a complex number. That is, Vout = (A+jB)Vin. What are A and B? 2) Prelab: You will be analyzing the impedance and voltage-division characteristics of a several “black box” circuits in lab. Several example circuits are given below. In each case analyze the impedance across each pair of terminals (a complex number, as a function of ω), and in particular analyze Z for f=0Hz. Also use voltage divider analysis to find the phase and amplitude of V 2 for V 1 =1V·cos(2πft), as a function of f, and find it explicitly for f=1kHz and 100kHz. Also, find the frequency (in the range from 1kHz to 100kHz) at which the amplitude of V 2 is maximized. Perform the same analyses for V 1 when V 2 =1V·cos(2πft).

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a. Pure resistors: analyze the circuit in Fig. 2a i. What are Zac, Zbc and Zab? What are they at f=0Hz? ii.
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## This note was uploaded on 10/25/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Spring '05 term at Cornell.

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HW4 - ECE 2100 Homework 4 Professor Alyssa Apsel Subjects...

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