Consider an RL circuit consisting of an inductor with an inductance of L henry (H) and a resistor with a resistance of R ohms (Ω)driven by a voltage of E(t)volts (V). Given the voltage drop across the resistor is ER=RI , and across the inductor is EL=L(dI/dt) , Kirchhoff's Law gives Ld Idt+RI =E(t)Now suppose an RL circuit with a 7Ω resistor and a 0.04H inductor is driven by a constant voltage of sin(40t) V. If the initial resistor current is I(0)=0A , find the current I and the voltages across the inductor EL and the resistor ER in terms of time t. Consider an RL circuit consisting of an inductor with an inductance of L henry (H) anda resistor with a resistance of Rohms (22) driven by a voltage of E(t) volts (V). Giventhe voltage drop across the resistor is ER RI, and across the inductor isEL = L(dI / dt), Kirchhoff's Law givesI(t)Now suppose an RL circuit with a 7º resistor and a 0.04H inductor is driven by aconstant voltage E(t) = sin(40t)V. If the initial resistor current is I(0) = 0A, find thecurrent I and the voltages across the inductor EL and the resistor ER in terms of time t=ER(t)EL(t)=-=dIL- + RI = E(t)dtAVV

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Answered: Consider an RL circuit consisting of an…

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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Consider an RL circuit consisting of an inductor with an inductance of L henry (H) and a resistor with a resistance of R ohms (Ω)driven by a voltage of E(t)volts (V). Given the voltage drop across the resistor is ER=RI , and across the inductor is EL=L(dI/dt) , Kirchhoff's Law gives Ld Idt+RI =E(t)

Now suppose an RL circuit with a 7Ω resistor and a 0.04H inductor is driven by a constant voltage of sin(40t) V. If the initial resistor current is I(0)=0A , find the current I and the voltages across the inductor EL and the resistor ER in terms of time t.