1) Derive the differential equation defining the inductor current and what are the roots of the corresponding characteristic equation? 2) What is the neccesary initial condition in order to solve for i (t)? 3) Solve for i (t) for t > 0. 4) Modify R2 to obtain a critically damped response? Determine the value of R2.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.66P
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1) Derive the differential equation defining the inductor current and
what are the roots of the corresponding characteristic equation?
2) What is the neccesary initial condition in order to solve for i (t)?
3) Solve for i (t) for t > 0.
4) Modify R2 to obtain a critically damped response? Determine the value of
R2.
Transcribed Image Text:1) Derive the differential equation defining the inductor current and what are the roots of the corresponding characteristic equation? 2) What is the neccesary initial condition in order to solve for i (t)? 3) Solve for i (t) for t > 0. 4) Modify R2 to obtain a critically damped response? Determine the value of R2.
R1
4ohm
R2
↑
1ohm
5u(-t) A
ve 0.5F
2H
Transcribed Image Text:R1 4ohm R2 ↑ 1ohm 5u(-t) A ve 0.5F 2H
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