Consider an RL circuit consisting of an inductor with an inductance of L henry(H)and a resistor with a resistance of Rohms () driven by a voltage of E(t) volts (V). Given the voltage drop across the resistor is ER RI, and across the inductor is E₁ = L(dI / dt), Kirchhoff's Law gives I(t) Now suppose an RL circuit with a 3 resistor and a 0.03H inductor is driven by a constant voltage of 90V. 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
Consider an RL circuit consisting of an inductor with an inductance of L henry(H)and a resistor with a resistance of Rohms () driven by a voltage of E(t) volts (V). Given the voltage drop across the resistor is ER RI, and across the inductor is E₁ = L(dI / dt), Kirchhoff's Law gives I(t) Now suppose an RL circuit with a 3 resistor and a 0.03H inductor is driven by a constant voltage of 90V. 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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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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 (2) 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 3 resistor and a 0.03H inductor is driven by a
constant voltage of 90V. 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)
=
dI
L- + RI = E(t)
dt
EL(t) =
=
A
V
V
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