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 givesLd Idt+RI =E(t) Now suppose an RL circuit with a 2Ω resistor and a 0.04H inductor is driven by a constant voltage of 130V . 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. Find: I(t), ER(t),EL(t) Consider an RL circuit consisting of an inductor with an inductance of L henry(H)and aresistor with a resistance of R ohms (1) 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 20 resistor and a 0.04H inductor is driven by aconstant voltage of 130V. If the initial resistor current is I(0) = 0A, find the current Iand the voltages across the inductor EL and the resistorER in terms of time t.=ER(t)=EL(t):=-dIL- + RI = E(t)dtAVV

Answered: Image /qna-images/answer/abcf3255-08d1-4fc6-8600-25531d57adab.jpg

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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Related questions

Question

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 2Ω resistor and a
0.04H inductor is driven by a constant voltage of
130V . 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.

Find: I(t), E_R(t),E_L(t)

Consider an RL circuit consisting of an inductor with an inductance of L henry(H)and a
resistor with a resistance of R ohms (1) 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
I(t) =
Now suppose an RL circuit with a 20 resistor and a 0.04H inductor is driven by a
constant voltage of 130V. If the initial resistor current is I(0) = 0A, find the current I
and the voltages across the inductor EL and the resistorER in terms of time t.
=
ER(t)
=
EL(t):
=
-
dI
L- + RI = E(t)
dt
A
V
V

Expert Solution

Step 1: Introduction of the given problem

$L fraction numerator d I over denominator d t end fraction plus R I equals E open parentheses t close parentheses I open parentheses 0 close parentheses equals 0 R equals 2 space capital omega L equals 0.04 space H E open parentheses t close parentheses equals 130$