20105ee110_1_hw4_v4

# 20105ee110_1_hw4_v4 - EE 110 Fall 2010 Homework#4 Due...

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EE 110, Fall 2010, Homework #4, Due November 4, 2010 Problem 1: Refer to Figure 1 for this problem. (a) Write the integro-differential equations that govern the behavior of the circuit in the figure. (b) Convert the equations in part (a) into the s-domain using the Laplace transform. (c) Draw the s-domain equivalent of the circuit shown in the figure including the initial condi- tions appropriately. (d) Obtain an expression for V d (s), the Laplace transform of v d (t), by using node voltage or mesh current method on the s-domain circuit obtained in part (c). (e) Compute v d (t). (f) Identify transient and steady state components of v d (t). (5 + 5 + 5 + 10 + 10 + 5 = 40 points) Problem 2: Refer to Figure 2 for this problem. It is observed that the input and output voltages of the linear electrical network in Figure 2(a) are related as follows: 0 ( ) 2 ( ) ( ) 2 ( ) O O i O t dv t v t v t v d dt τ - = - - Assume that v i ( t ), v o ( t ), and all the voltages and currents in the network are zero for

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## This note was uploaded on 02/28/2011 for the course EE 110 taught by Professor Gupta during the Spring '08 term at UCLA.

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20105ee110_1_hw4_v4 - EE 110 Fall 2010 Homework#4 Due...

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