system of differential

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).
Use the Laplace transform to solve the system in (a) if R1 = 102, R2 = 52,
L= 1H, C=0.2F, I,(0) = 0, I.(0) = 0 and
120, 0<t< 2,
E(t) =
0,
%3D
t> 2.
Transcribed Image Text:Use the Laplace transform to solve the system in (a) if R1 = 102, R2 = 52, L= 1H, C=0.2F, I,(0) = 0, I.(0) = 0 and 120, 0<t< 2, E(t) = 0, %3D t> 2.
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