Consider an RL circuit consisting of an inductor with an inductance of L henry (H) and a resistor with a resistance of Rohms (2) driven by a voltage of E(t) volts V). Given the voltage drop across the resistor is ER = RI, and across the L(dI/dt), Kirchhoff's Law gives nductor is EL (t) = = ER(t) Now suppose an RL circuit with a 62 resistor and a 0.06H inductor is driven by a onstant voltage E(t) = sin(130t) V. If the initial resistor current is I(0) = 0A, - nd the current I and the voltages across the inductor EL and the resistor ER in erms of time t. = EL(t) = - = L dI dt + RI = E(t) A V V

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Now suppose an RL circuit with a 6Ω resistor and a 0.06H inductor is driven by a constant voltage E(t)=sin(130t)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)
and a resistor with a resistance of Rohms (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) =
=
ER(t)
Now suppose an RL circuit with a 62 resistor and a 0.06H inductor is driven by a
constant voltage E(t) = sin(130t)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.
EL (t)
=
dI
dt
-
L-
+ RI = E(t)
-
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 Rohms (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) = = ER(t) Now suppose an RL circuit with a 62 resistor and a 0.06H inductor is driven by a constant voltage E(t) = sin(130t)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. EL (t) = dI dt - L- + RI = E(t) - A V V
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