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ASSESSMENT PROBLEMS ctive 1-Be able to determine the natural response of both RL and RC circuits The switch in the circuit shown has been closed for a long time and is opened at t = 0. Find a) the initial value of v(t), b) the time constant for t > 0, c) the numerical expression for v(t) after the switch has been opened, d) the initial energy stored in the capacitor, and e) the length of time required to dissipate 75% of the initially stored energy. Xi=0 20 ΚΩ m 17.5 mA 80 kn + 0.4 μF (1) 50 kn wer: (a) 200 V; (b) 20 ms; (c) 200e-50 V, t≥ 0; (d) 8 mJ; (e) 13.86 ms. "E: Also try Chapter Problems 7.23 and 7.26. 7.4 The switch in the circuit shown has been closed for a long time before being opened at t = 0. a) Find vo(t) fort ≥ 0. b) What percentage of the initial energy stored in the circuit has been dissipated after the switch has been open for 60 ms? 15 ΚΩ 15 V 1=0 v (1) 5 μF HE 20 ΚΩ 1 μF 40 kn { Answer: (a) 8e-25t + 4e¯¹0 V, t≥ 0; (b) 81.05%.

ASSESSMENT PROBLEMS ctive 1-Be able to determine the natural response of both RL and RC circuits The switch in the circuit shown has been closed for a long time and is opened at t = 0. Find a) the initial value of v(t), b) the time constant for t > 0, c) the numerical expression for v(t) after the switch has been opened, d) the initial energy stored in the capacitor, and e) the length of time required to dissipate 75% of the initially stored energy. Xi=0 20 ΚΩ m 17.5 mA 80 kn + 0.4 μF (1) 50 kn wer: (a) 200 V; (b) 20 ms; (c) 200e-50 V, t≥ 0; (d) 8 mJ; (e) 13.86 ms. "E: Also try Chapter Problems 7.23 and 7.26. 7.4 The switch in the circuit shown has been closed for a long time before being opened at t = 0. a) Find vo(t) fort ≥ 0. b) What percentage of the initial energy stored in the circuit has been dissipated after the switch has been open for 60 ms? 15 ΚΩ 15 V 1=0 v (1) 5 μF HE 20 ΚΩ 1 μF 40 kn { Answer: (a) 8e-25t + 4e¯¹0 V, t≥ 0; (b) 81.05%.

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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✔ASSESSMENT PROBLEMS Objective 1-Be able to determine the natural response of both RL and RC circuits 7.3 The switch in the circuit shown has been closed for a long time and is opened at t = 0. Find a) the initial value of v(t), b) the time constant for t > 0, c) the numerical expression for v(t) after the switch has been opened, d) the initial energy stored in the capacitor, and e) the length of time required to dissipate 75% of the initially stored energy. 20 ΚΩ 7.5 mA 80 kN = 0) + 0.4 μF (1) 50 kN Answer: (a) 200 V; (b) 20 ms; (c) 200e-50 V, t≥ 0; (d) 8 mJ; (e) 13.86 ms. NOTE: Also try Chapter Problems 7.23 and 7.26. 7.4 The switch in the circuit shown has been closed for a long time before being opened at t = 0. a) Find vo(t) for t≥ 0. b) What percentage of the initial energy stored in the circuit has been dissipated after the switch has been open for 60 ms? 15 ΚΩ 15 V 1=0) + vo(t) 5 μF Ht 20 ΚΩ 1 μF: Answer: (a) 8e-25t + 4e¯10¹ V, t≥ 0; (b) 81.05%. 40 ΚΩΣ
Transcribed Image Text:✔ASSESSMENT PROBLEMS Objective 1-Be able to determine the natural response of both RL and RC circuits 7.3 The switch in the circuit shown has been closed for a long time and is opened at t = 0. Find a) the initial value of v(t), b) the time constant for t > 0, c) the numerical expression for v(t) after the switch has been opened, d) the initial energy stored in the capacitor, and e) the length of time required to dissipate 75% of the initially stored energy. 20 ΚΩ 7.5 mA 80 kN = 0) + 0.4 μF (1) 50 kN Answer: (a) 200 V; (b) 20 ms; (c) 200e-50 V, t≥ 0; (d) 8 mJ; (e) 13.86 ms. NOTE: Also try Chapter Problems 7.23 and 7.26. 7.4 The switch in the circuit shown has been closed for a long time before being opened at t = 0. a) Find vo(t) for t≥ 0. b) What percentage of the initial energy stored in the circuit has been dissipated after the switch has been open for 60 ms? 15 ΚΩ 15 V 1=0) + vo(t) 5 μF Ht 20 ΚΩ 1 μF: Answer: (a) 8e-25t + 4e¯10¹ V, t≥ 0; (b) 81.05%. 40 ΚΩΣ
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