Question

P= 5012 R= 2012 + + Vs = 2 + 2cos(2000) + V L = 1 mH

1.show the relationship between input Vs and output Vo as a function and calculate the voltage gain and time constant

2.Experiment with the circuit in Matlab to find the Vo and time constant.

3.Experiment with the circuit in Pspice to find the Vo and time constant.

Answer 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 other question separately if you want to get answered.

1)

Step 1

When only the dc component of the given input voltage is working, the inductor behaves as a short circuit, as the reactance becomes zero.

Hence, the voltage across the inductor is,

Step 2

When only the ac component of the given input voltage is working, the voltage across the inductor is,

Step 3

Hence, the output voltage is,

Step 4

Hence, the gain is,

Step 5

The time constant of the circuit is,