Consider an AC source represented at any time, t, by V(t) = Vo cos(Nt+ o), where Vo, , are some positive parameters and Vo, are independent of . In PS3, we considered a circuit called 'R+LC' connected to V(t). There are 2 other independent permutations as shown in figure 1. L+CR L 0000 R www. R+LC R alt eeee C+LR R 0000 Figure 1: The 'R+LC', 'L+CR' and 'C+LR' circuits with an external AC source. (a) Derive the second order differential equation for the current across the re- sistor in the 'L+CR' circuit. Hint: The final result can be written as RLCÏR + LİR+RIR = V(t) (b) Derive the second order differential equation for the current across the re- sistor in the 'C+LR' circuit. Hint: The final result can be written as RLCÏR+LİR+RIR = −LCN²V (t)

Consider an AC source represented at any time, t, by V(t) = Vo cos(Nt+ o), where Vo, , are some positive parameters and Vo, are independent of . In PS3, we considered a circuit called 'R+LC' connected to V(t). There are 2 other independent permutations as shown in figure 1. L+CR L 0000 R www. R+LC R alt eeee C+LR R 0000 Figure 1: The 'R+LC', 'L+CR' and 'C+LR' circuits with an external AC source. (a) Derive the second order differential equation for the current across the re- sistor in the 'L+CR' circuit. Hint: The final result can be written as RLCÏR + LİR+RIR = V(t) (b) Derive the second order differential equation for the current across the re- sistor in the 'C+LR' circuit. Hint: The final result can be written as RLCÏR+LİR+RIR = −LCN²V (t)

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 6.17MCQ

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