4. For the oscillator circuit shown below, the amplifier is an with trans-resistance gain Rm Vo frequency of oscillator and minimum trans-resistance gan (15pts) (Hint: ideal tr short the input te...

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4. For the oscillator circuit shown below, the amplifier is an with trans-resistance gain Rm Vo frequency of oscillator and m

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Answer 1

Answer #1

Vout 2C

The feedback circuit becomes, as shown above, assuming the input impedance of the transresistance amplifier is 0.

Feedback,

Vout Vout tot = R + 1/sC + R111/2sC Vout sC Vout sC SC

In the frequency domain,

$juc$

So to satisfy Barkhausen criteria, the phase of feedback must be zero. Hence

$V2RC$

Which is the oscillating frequency.

And for the oscillations to sustain, loop gain A*beta >1. Hence,

$R_m*\beta > 1$

At the oscillation frequency,

$4R 4R 4R$

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Answer 2

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