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Q1. Figure 3.1 shows an RLC circuit at t >0 s. Assume a current source of 5A is applied to the circuit. The inductor has an initial current, i, (0) = 20 mA and the initial capacitor voltage, vc (0) = 10 V. Is iz(t) | L + vc(t) C R Figure Q1 (a) Design your circuit to obtain an overdamped, critically damped, and underdamped response. For the design, choose undamped frequency, o in the 700 rad/s. (b) Find the expression of ve(t) and i₁(t) for t≥0s for each of your circuit design in part Q1(a). Show all your calculations. (c) Simulate the circuit designed in part Q1(a) and plot all the responses of vc(t) and i(t) for t≥ 0 s. You should have: (i)individual response plot and (ii) combination of all response plot on a single graph. (d) Analyze the responses from part Q1(c) that will give you the shortest time on reaching 80% of the final value of ve(t). Give comment and conclusion.

Q1. Figure 3.1 shows an RLC circuit at t >0 s. Assume a current source of 5A is applied to the circuit. The inductor has an initial current, i, (0) = 20 mA and the initial capacitor voltage, vc (0) = 10 V. Is iz(t) | L + vc(t) C R Figure Q1 (a) Design your circuit to obtain an overdamped, critically damped, and underdamped response. For the design, choose undamped frequency, o in the 700 rad/s. (b) Find the expression of ve(t) and i₁(t) for t≥0s for each of your circuit design in part Q1(a). Show all your calculations. (c) Simulate the circuit designed in part Q1(a) and plot all the responses of vc(t) and i(t) for t≥ 0 s. You should have: (i)individual response plot and (ii) combination of all response plot on a single graph. (d) Analyze the responses from part Q1(c) that will give you the shortest time on reaching 80% of the final value of ve(t). Give comment and conclusion.

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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Electric Circuit 2

Q1. Figure 3.1 shows an RLC circuit at t> 0 s. Assume a current source of 5A is applied to the circuit. The inductor has an initial current, i, (0) = 20 mA and the initial capacitor voltage, vc (0) = 10 V. Is iz(t) | L + ve(t) M R Figure Q1 (a) Design your circuit to obtain an overdamped, critically damped, and underdamped response. For the design, choose undamped frequency, w in the 700 rad/s. (b) Find the expression of ve(t) and i₁(t) for t≥0s for each of your circuit design in part Q1(a). Show all your calculations. (c) Simulate the circuit designed in part Q1(a) and plot all the responses of ve(t) and i(t) for t≥ 0 s. You should have: (i)individual response plot and (ii) combination of all response plot on a single graph. (d) Analyze the responses from part Q1(c) that will give you the shortest time on reaching 80% of the final value of ve(t). Give comment and conclusion.
Transcribed Image Text:Q1. Figure 3.1 shows an RLC circuit at t> 0 s. Assume a current source of 5A is applied to the circuit. The inductor has an initial current, i, (0) = 20 mA and the initial capacitor voltage, vc (0) = 10 V. Is iz(t) | L + ve(t) M R Figure Q1 (a) Design your circuit to obtain an overdamped, critically damped, and underdamped response. For the design, choose undamped frequency, w in the 700 rad/s. (b) Find the expression of ve(t) and i₁(t) for t≥0s for each of your circuit design in part Q1(a). Show all your calculations. (c) Simulate the circuit designed in part Q1(a) and plot all the responses of ve(t) and i(t) for t≥ 0 s. You should have: (i)individual response plot and (ii) combination of all response plot on a single graph. (d) Analyze the responses from part Q1(c) that will give you the shortest time on reaching 80% of the final value of ve(t). Give comment and conclusion.
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