Unformatted text preview: ECE 202 (Fall 2007) Homework No. 9 Due: Friday, 11/9/2007 Instructions: Draw a box around to indicate each answer. Failure to do so will cost you 2 pts per offence. Total = 100 pts (P.1) [13 pts] The switch in Figure 1 has been in position b for a long time. It is moved to position a at t=0. Determine v(t) for t>0. What is the time constant of this circuit? Figure 1 Circuit for Problem 1 (P.2) [50 pts] Consider the circuit in Figure 2. The input signal is vs(t) = 10 u(t) V and assume that at t = 0, ‐1 A flows through the inductor and +5 V is across the capacitor. + ‐ Figure 2 Circuit for Problem 2 v1(t) (a) [14 pts] Draw the s‐domain circuit incorporating the initial conditions. (b) [11 pts] What is the voltage across the capacitor for t > 0? (c) [5 pts] What is the network function, T1(s), of this circuit? (Caution: recall how a network function is defined.) Express the denominator of T1(s) as a polynomial with an unity coefficient for the highest order of s. (d) [10 pts] What is the impulse response of the circuit in the time domain? (e) [10 pts] What is the step response of the circuit in the time domain? (P.3) [18 pts] Solve Problem 11‐50 in text using (i) [10 pts] the t‐domain convolution integral; and (ii) [8 pts] the s‐domain approach. (P.4) [19 pts] For the RL circuit in Figure 3(a), use the convolution integral to find the response io(t) due to the excitation shown in Figure 3(b). Figure 3 Circuit (a) and input signal (b) for Problem 4 ...
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