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Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(t); the solution to the differential equation

Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(t); the solution to the differential equation

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(t); the solution to the differential equation
Transcribed Image Text:Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(t); the solution to the differential equation
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