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governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 N, L = 50 mH, and C = 0.2 µF. C Vo b) Will the response be overdamped, underdamped, or critically damped? c) Repeat (a) and (b) for R = 312.5 N. D What value of R causes the response to be criti- cally damped? b) The voltage response wi < a?. c) For R = 312.5 N, Solution 106 a) For the given values of R, L, and C a = (625)(0.2) 1 106 = 64 X 106 = ( a 1.25 x 104 rad/s, %3D 2RC (400)(0.2) As wó remains at 10 1 1 (10*)(10º) 10 rad²/s². S1 = -8000 LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15. d) For critical damping How did he get the value RC 1 2R inside the red circle 10 x 10 Given the circuit in Fig. 8.95, find (t) and vt) for t>0.

governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 N, L = 50 mH, and C = 0.2 µF. C Vo b) Will the response be overdamped, underdamped, or critically damped? c) Repeat (a) and (b) for R = 312.5 N. D What value of R causes the response to be criti- cally damped? b) The voltage response wi < a?. c) For R = 312.5 N, Solution 106 a) For the given values of R, L, and C a = (625)(0.2) 1 106 = 64 X 106 = ( a 1.25 x 104 rad/s, %3D 2RC (400)(0.2) As wó remains at 10 1 1 (10*)(10º) 10 rad²/s². S1 = -8000 LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15. d) For critical damping How did he get the value RC 1 2R inside the red circle 10 x 10 Given the circuit in Fig. 8.95, find (t) and vt) for t>0.

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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governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 N, L = 50 mH, and C = 0.2 µF. C Vo b) Will the response be overdamped, underdamped, or critically damped? c) Repeat (a) and (b) for R = 312.5 N. D What value of R causes the response to be criti- cally damped? b) The voltage response wi < a?. c) For R = 312.5 N, Solution 106 a) For the given values of R, L, and C a = (625)(0.2) 1 106 a = 64 x 106 = ( 1.25 x 104 rad/s, a 2RC (400)(0.2) As wó remains at 101 1 (10*)(10º) 10 rad²/s². S1 = -8000 LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15. d) For critical damping How did he get the value RC 1 2R inside the red circle 10 x 10 Given the circuit in Fig. 8.95, find (t) and v(t) for t>0. 1 H
Transcribed Image Text:governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 N, L = 50 mH, and C = 0.2 µF. C Vo b) Will the response be overdamped, underdamped, or critically damped? c) Repeat (a) and (b) for R = 312.5 N. D What value of R causes the response to be criti- cally damped? b) The voltage response wi < a?. c) For R = 312.5 N, Solution 106 a) For the given values of R, L, and C a = (625)(0.2) 1 106 a = 64 x 106 = ( 1.25 x 104 rad/s, a 2RC (400)(0.2) As wó remains at 101 1 (10*)(10º) 10 rad²/s². S1 = -8000 LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15. d) For critical damping How did he get the value RC 1 2R inside the red circle 10 x 10 Given the circuit in Fig. 8.95, find (t) and v(t) for t>0. 1 H
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