Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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 Now suppose an RL circuit with a 202 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. I(t) = = ER(t) EL(t) = dI L + RI = E(t) dt = A V V

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 Now suppose an RL circuit with a 202 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. I(t) = = ER(t) EL(t) = dI L + RI = E(t) dt = A V V

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
See similar textbooks
icon
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), ER(t),EL(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
Transcribed Image Text: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
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS