DIFFERENTIAL EQUATIONS Figure 1 shows an electric circuit that can be represented by a system of differentialequations.IcR2I. LlaER1CFIGURE 1. Electric circuitIf I, and I. describe the currents of the circuit, by Kirchhoff's first law, we can writeIa (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 and120, 0 2.

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Engineering

Electrical Engineering

system of differential

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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Question

DIFFERENTIAL EQUATIONS

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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