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Part-A. Derive expressions for the system variables using differential equations Given the circuit shown and that there is no initial energy stored in the system(i(0)-0, x.(0)-0), derive expressions for the system variables i(t), V.(t) and (t) for each of the cases below. Assume the switch closes at time t-0. E= 10V E Case-1: Case-2: R + VL wwroo m R-42, L-0.2H, and C=0.2F R=292, H-0.2H, C-0.2F L C For each case, clearly show the final answer for each of the three variables. Als comment on the result as to whether the transient response is overdamped, underdamped, or critically damped. Vc

Part-A. Derive expressions for the system variables using differential equations Given the circuit shown and that there is no initial energy stored in the system(i(0)-0, x.(0)-0), derive expressions for the system variables i(t), V.(t) and (t) for each of the cases below. Assume the switch closes at time t-0. E= 10V E Case-1: Case-2: R + VL wwroo m R-42, L-0.2H, and C=0.2F R=292, H-0.2H, C-0.2F L C For each case, clearly show the final answer for each of the three variables. Als comment on the result as to whether the transient response is overdamped, underdamped, or critically damped. Vc

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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find the derivative expression for i(t),Vl(t), and Vc(t). Then solve given the different numbers in the cases.

 

 

 

Part-A. Derive expressions for the system variables using differential equations Given the circuit shown and that there is no initial energy stored in the system(i(0)-0, v.(0)-0), derive expressions for the system variables i(t), V₁(t) and Ye(t) for each of the cases below. Assume the switch closes at time t-0. E= 10V E Case-1: Case-2: Case -3: wwroo R + VL R-402, L-0.2H, and C=0.2F R 252, H-0.2H, C-0.2F R=192, L-0.2H, and C=0.2F L C For each case, clearly show the final answer for each of the three variables. Als comment on the result as to whether the transient response is overdamped, underdamped, or critically damped. Vc
Transcribed Image Text:Part-A. Derive expressions for the system variables using differential equations Given the circuit shown and that there is no initial energy stored in the system(i(0)-0, v.(0)-0), derive expressions for the system variables i(t), V₁(t) and Ye(t) for each of the cases below. Assume the switch closes at time t-0. E= 10V E Case-1: Case-2: Case -3: wwroo R + VL R-402, L-0.2H, and C=0.2F R 252, H-0.2H, C-0.2F R=192, L-0.2H, and C=0.2F L C For each case, clearly show the final answer for each of the three variables. Als comment on the result as to whether the transient response is overdamped, underdamped, or critically damped. Vc
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