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Applying the Kirchhoff's second law, show that the system of differential equa- tions is (a) dl L. dt IP dt +L +R¡I, = E (t), dl, dle +R2 dt 0. dt

Applying the Kirchhoff's second law, show that the system of differential equa- tions is (a) dl L. dt IP dt +L +R¡I, = E (t), dl, dle +R2 dt 0. dt

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter29: Dc Generators
Section: Chapter Questions
Problem 5RQ: What are interpoles, and what is their purpose?
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(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dl dle +L +RIb = E (t), dt dt dl, dle +R2 dt 1 = 0. -R dt Use the Laplace transform to solve the system in (a) if R = 102, R2 = 52, L= 1H, C =0.2F, I,(0) =0, I(0) = 0 and (b) 120, 0<1<2, 0, E(t) = 122. (c) Calculate the current I.(t).
Transcribed Image Text:(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dl dle +L +RIb = E (t), dt dt dl, dle +R2 dt 1 = 0. -R dt Use the Laplace transform to solve the system in (a) if R = 102, R2 = 52, L= 1H, C =0.2F, I,(0) =0, I(0) = 0 and (b) 120, 0<1<2, 0, E(t) = 122. (c) Calculate the current I.(t).
Figure 1 shows an electric circuit that can be represented by a system of differential equations. R2 4 la R1 47 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write la (1) = I, (1) +1. (1).
Transcribed Image Text:Figure 1 shows an electric circuit that can be represented by a system of differential equations. R2 4 la R1 47 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write la (1) = I, (1) +1. (1).
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