For the circuit below, the switch is at the "off° state for very long time whent<0. We turn on the switch at t = 0. Please1) Determine iL(t) when t>0 (iL(0) = 0) f= 50HZ, compute Yab. Note: Question 2) is independent of 1). 2) Given %3D a 30 80 12 V 1.6 H 60 b

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For the circuit below, the switch is at the "off° state for very long time whent<0.
We turn on the switch at t = 0. Please1) Determine iL(t) when t>0 (iL(0) = 0)
f= 50HZ, compute Yab.
Note: Question 2) is independent of 1).
2) Given
%3D
a
30
80
12 V
1.6 H
60
b
Transcribed Image Text:For the circuit below, the switch is at the "off° state for very long time whent<0. We turn on the switch at t = 0. Please1) Determine iL(t) when t>0 (iL(0) = 0) f= 50HZ, compute Yab. Note: Question 2) is independent of 1). 2) Given %3D a 30 80 12 V 1.6 H 60 b
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Step 1

We are authorized to answer one question at a time since you have not mentioned which question you are looking for, so we are answering the FIRST one, please repost your question separately for the remaining question.

The switch has been opened for a long time.

The circuit diagram is:

Electrical Engineering homework question answer, step 1, image 1

Electrical Engineering homework question answer, step 1, image 2

The switch is closed at t = 0. The inductor does not allow the sudden change in the current.

Electrical Engineering homework question answer, step 1, image 3

Step 2

At steady-state, the inductor acts as short circuit.

The modified circuit is:

Electrical Engineering homework question answer, step 2, image 1

Applying Kirchhoff’s current law at node A:

Electrical Engineering homework question answer, step 2, image 2

Step 3

The value of i3 is:

Electrical Engineering homework question answer, step 3, image 1

The value of the time constant of the circuit is:

Electrical Engineering homework question answer, step 3, image 2

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