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The switch has been open for a long time. At t = 0 the switch is closed. İL(1) 200 2 t = 0 2 V 50 mH a) Determine the initial current i, (0). b) Find the differential equation for i¿(t) c) Transform the equation into s domain and obtain IL (s).

The switch has been open for a long time. At t = 0 the switch is closed. İL(1) 200 2 t = 0 2 V 50 mH a) Determine the initial current i, (0). b) Find the differential equation for i¿(t) c) Transform the equation into s domain and obtain IL (s).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Circuit Analysis with Inductor** **Description:** The diagram illustrates an electrical circuit consisting of the following components: - A 2 V DC voltage source. - A 200 Ω resistor. - A switch that has been open for a long time and is closed at time \( t = 0 \). - An inductor with an inductance of 50 mH. - The current through the inductor is represented as \( i_L(t) \). **Problem Tasks:** a) Determine the initial current \( i_L(0) \). b) Find the differential equation for \( i_L(t) \). c) Transform the equation into the s-domain to obtain \( I_L(s) \).
Transcribed Image Text:**Circuit Analysis with Inductor** **Description:** The diagram illustrates an electrical circuit consisting of the following components: - A 2 V DC voltage source. - A 200 Ω resistor. - A switch that has been open for a long time and is closed at time \( t = 0 \). - An inductor with an inductance of 50 mH. - The current through the inductor is represented as \( i_L(t) \). **Problem Tasks:** a) Determine the initial current \( i_L(0) \). b) Find the differential equation for \( i_L(t) \). c) Transform the equation into the s-domain to obtain \( I_L(s) \).
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