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Suppose an RL circuit with a 110 resistor and a 6H inductor is driven by the voltage 5t E(t) = eſt V. If the initial resistor current is I(0) = 0A, find the current I, the voltages across the inductor EL and the resistor ER in terms of time t. A I(t) = = ER(t) EL (t) = = V V

Suppose an RL circuit with a 110 resistor and a 6H inductor is driven by the voltage 5t E(t) = eſt V. If the initial resistor current is I(0) = 0A, find the current I, the voltages across the inductor EL and the resistor ER in terms of time t. A I(t) = = ER(t) EL (t) = = V V

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose an RL circuit with a 11 resistor and a 6H inductor is driven by the voltage E(t) est V. If the initial resistor current is I(0) OA, find the current I, the voltages across the inductor E₁ and the resistor ER in terms of time t. A I(t) = = ER(t) EL(t) = = = V V
Transcribed Image Text:Suppose an RL circuit with a 11 resistor and a 6H inductor is driven by the voltage E(t) est V. If the initial resistor current is I(0) OA, find the current I, the voltages across the inductor E₁ and the resistor ER in terms of time t. A I(t) = = ER(t) EL(t) = = = V V
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Step 1: Introduction of the given problem

L fraction numerator d I over denominator d t end fraction plus R I equals E open parentheses t close parentheses I open parentheses 0 close parentheses equals 0 space A R equals 11 space capital omega L equals 6 space H E open parentheses t close parentheses equals e to the power of 5 t end exponent space V

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