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(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dle L- dt +L +R¸I, = E (t), dt dl, -R1 dt dl. +R2- +äk=0. 1 dt

(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dle L- dt +L +R¸I, = E (t), dt dl, -R1 dt dl. +R2- +äk=0. 1 dt

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Figure 1 shows an electric circuit that can be represented by a system of differential equations. L la R2 Ip E R1 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write *(1) °1 + (?) °I = (2) "1
Transcribed Image Text:Figure 1 shows an electric circuit that can be represented by a system of differential equations. L la R2 Ip E R1 FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write *(1) °1 + (?) °I = (2) "1
(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dl, L +L dt dle +R11, = E (t), dt dl. dlp +R2- dt dt 1 -R|- = 0.
Transcribed Image Text:(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dl, L +L dt dle +R11, = E (t), dt dl. dlp +R2- dt dt 1 -R|- = 0.
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