below, prOVide the following: (a) An expression of H (w) = in standard form. |3D (b) The cutoff frequency We and the slope of the magnitude (in dB) when << 1. We

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For the circuit below, provide the following:
Vo
(a) An expression of H (w) =
in standard form.
(b) The cutoff frequency We and the slope of the magnitude (in dB) when
<< 1.
We
Transcribed Image Text:For the circuit below, provide the following: Vo (a) An expression of H (w) = in standard form. (b) The cutoff frequency We and the slope of the magnitude (in dB) when << 1. We
Expert Solution
Step 1

The impedance of Inductor in s domain is sL and for resistor is R. 

In s domain the circuit representation is as follows

Electrical Engineering homework question answer, step 1, image 1

 

Step 2

Applying KVL in input loop

Vis=RIs+sLIsIs=VisR+sL

Output voltage is the voltage across output resistor, which is same as voltage across inductor as both are parallel.

V0s=sLIs

Using the value of Is in the output voltage equation

Vos=sLVisR+sL

Now

Hjω=VosVis

 

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