a) Find the roots of the characteristic equation that governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 Q, L = 50 mH, and C = 0.2 µF. + Vo b) Will the response be overdamped, underdamped, How did he get the value b) The voltage response wi < a?. inside the red circle c) For R = 312.5 Q, %3D Solution 106 ) For the given values of R, L, and C, a (625)(0.2) 106 a = 64 x 106 = ( 1 a = %3D %3D = 1.25 x 104 rad/s, 2RC (400)(0.2) As wó remains at 10 1 (10°)(10) S1 = = -8000 1 = 10° rad?/s². LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15, d) For critical damping 05 x 10 108 2RC or 1 = -12,500 + 7500 = -5000 rad/s, 2R and S2 = -1.25 x 10 - V1.5625 x 10 – 10 10 R = (2 × 10
a) Find the roots of the characteristic equation that governs the transient behavior of the voltage shown in Fig. 8.5 if R = 200 Q, L = 50 mH, and C = 0.2 µF. + Vo b) Will the response be overdamped, underdamped, How did he get the value b) The voltage response wi < a?. inside the red circle c) For R = 312.5 Q, %3D Solution 106 ) For the given values of R, L, and C, a (625)(0.2) 106 a = 64 x 106 = ( 1 a = %3D %3D = 1.25 x 104 rad/s, 2RC (400)(0.2) As wó remains at 10 1 (10°)(10) S1 = = -8000 1 = 10° rad?/s². LC (50)(0.2) S2 = -8000 %3D From Eqs. 8.14 and 8.15, d) For critical damping 05 x 10 108 2RC or 1 = -12,500 + 7500 = -5000 rad/s, 2R and S2 = -1.25 x 10 - V1.5625 x 10 – 10 10 R = (2 × 10
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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