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Question 4 Fig. 6 shows a circuit consisting of a second-order filter. The switch in the circuit has remained open for a very long time before it is closed at t = 0. 4 V t=0 102 A second-order filter circuit 102 Vo Fig. 6: A second-order filter circuit. The output voltage v (t) was measured for t≥ 0 and has the s-domain representation: 0 V₁(s) = L[v(t)] 24s 12s²+7s+1 (Vs). (a) (b) (c) (d) Determine the initial and steady-state value of the output voltage v(t). Sketch a possible circuit consisting of only one inductor L and one capacitor C for the filter circuit shown in Fig. 6. Analyse the resulting circuit for the initial and steady-state value of its output voltage v_(t) to show that it aligns with what you have found in Q4(a). Analyse your circuit from Q4(b) in the s domain to find an expression for its output voltage V (s) and express it as a rational function of s (i.e., in the same form as provided). Based on your answer to Q4(c), find a value for the inductor L and a value for the capacitor C in your circuit of Q4(b) in order for it to produce the measured response V₁(s).

Question 4 Fig. 6 shows a circuit consisting of a second-order filter. The switch in the circuit has remained open for a very long time before it is closed at t = 0. 4 V t=0 102 A second-order filter circuit 102 Vo Fig. 6: A second-order filter circuit. The output voltage v (t) was measured for t≥ 0 and has the s-domain representation: 0 V₁(s) = L[v(t)] 24s 12s²+7s+1 (Vs). (a) (b) (c) (d) Determine the initial and steady-state value of the output voltage v(t). Sketch a possible circuit consisting of only one inductor L and one capacitor C for the filter circuit shown in Fig. 6. Analyse the resulting circuit for the initial and steady-state value of its output voltage v_(t) to show that it aligns with what you have found in Q4(a). Analyse your circuit from Q4(b) in the s domain to find an expression for its output voltage V (s) and express it as a rational function of s (i.e., in the same form as provided). Based on your answer to Q4(c), find a value for the inductor L and a value for the capacitor C in your circuit of Q4(b) in order for it to produce the measured response V₁(s).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question 4 Fig. 6 shows a circuit consisting of a second-order filter. The switch in the circuit has remained open for a very long time before it is closed at t = 0. 4 V t=0 102 A second-order filter circuit 102 Vo Fig. 6: A second-order filter circuit. The output voltage v (t) was measured for t≥ 0 and has the s-domain representation: 0 V₁(s) = L[v(t)] 24s 12s²+7s+1 (Vs). (a) (b) (c) (d) Determine the initial and steady-state value of the output voltage v(t). Sketch a possible circuit consisting of only one inductor L and one capacitor C for the filter circuit shown in Fig. 6. Analyse the resulting circuit for the initial and steady-state value of its output voltage v_(t) to show that it aligns with what you have found in Q4(a). Analyse your circuit from Q4(b) in the s domain to find an expression for its output voltage V (s) and express it as a rational function of s (i.e., in the same form as provided). Based on your answer to Q4(c), find a value for the inductor L and a value for the capacitor C in your circuit of Q4(b) in order for it to produce the measured response V₁(s).
Transcribed Image Text:Question 4 Fig. 6 shows a circuit consisting of a second-order filter. The switch in the circuit has remained open for a very long time before it is closed at t = 0. 4 V t=0 102 A second-order filter circuit 102 Vo Fig. 6: A second-order filter circuit. The output voltage v (t) was measured for t≥ 0 and has the s-domain representation: 0 V₁(s) = L[v(t)] 24s 12s²+7s+1 (Vs). (a) (b) (c) (d) Determine the initial and steady-state value of the output voltage v(t). Sketch a possible circuit consisting of only one inductor L and one capacitor C for the filter circuit shown in Fig. 6. Analyse the resulting circuit for the initial and steady-state value of its output voltage v_(t) to show that it aligns with what you have found in Q4(a). Analyse your circuit from Q4(b) in the s domain to find an expression for its output voltage V (s) and express it as a rational function of s (i.e., in the same form as provided). Based on your answer to Q4(c), find a value for the inductor L and a value for the capacitor C in your circuit of Q4(b) in order for it to produce the measured response V₁(s).
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