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(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dle dl, +L dt L +R1lh = E (t), %3D dt dlb dle +R2- dt -R1 +-I. = 0. dt '0 = 7?+;

(a) Applying the Kirchhoff's second law, show that the system of differential equa- tions is dle dl, +L dt L +R1lh = E (t), %3D dt dlb dle +R2- dt -R1 +-I. = 0. dt '0 = 7?+;

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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DIFFERENTIAL EQUATIONS 

 

Figure 1 shows an electric circuit that can be represented by a system of differential equations. Ic R2 I. L la E R1 C FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write Ia (t) = I, (t) +I. (t).
Transcribed Image Text:Figure 1 shows an electric circuit that can be represented by a system of differential equations. Ic R2 I. L la E R1 C FIGURE 1. Electric circuit If I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can write Ia (t) = I, (t) +I. (t).
Applying the Kirchhoff's second law, show that the system of differential equa- tions is (a) dle dl, +L- dt +R¡Ih = E (t), L dt dl, +R2- dt -R1 dIc 1 I = 0. dt
Transcribed Image Text:Applying the Kirchhoff's second law, show that the system of differential equa- tions is (a) dle dl, +L- dt +R¡Ih = E (t), L dt dl, +R2- dt -R1 dIc 1 I = 0. dt
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