In the following circuit, the switch has been in position a for a long time and then moves to position b at t = 0s. Determine the following: a. The value of the current through the inductor for t < 0s. b. The expressions for il (t) and vI(t) for t > 0s. c. The time it takes for the inductor to return to steady state. d. The values of R3 and R4 that are needed for the inductor to return to steady state in 4 s.
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
In the following circuit, the switch has been in position a for a long time and then moves to position b at t = 0s. Determine the following:
a. The value of the current through the inductor for t < 0s.
b. The expressions for il (t) and vI(t) for t > 0s.
c. The time it takes for the inductor to return to steady state.
d. The values of R3 and R4 that are needed for the inductor to return to steady state in 4 s.
![R₁
10Ω
VA
30 V
+1
R₂
5Ω
ww
R3
3Ω
ww
a
b
t=0s
ww
RA
6Ω
ir(t)
vL(t)
2 L₁
4 H](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c83610f-450c-4db8-a21c-cbaa1fcdaa0e%2F549a739b-e980-4d49-925e-9f1aa6cace85%2Fxyhtjk_processed.jpeg&w=3840&q=75)
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