1. Derive the following gain expression for the non-inverting amplifier shown be

Question

1. Derive the following gain expression for the non-inverting amplifier shown below.

2. Derive the gain expression for the circuit below.

2. Assume RF = 100Kohm, R1=10Kohm, R2=20Kohm, V1=V2=.5sin(400pi*t)V. Draw the waceform expected at Vo.

3. Assume the same circuit except V1=V2=triangular input with a peak to eak value, zero average value with a frequency of 100hz. Draw the waveform expected at Vo.

1. Derive the following gain expression for the non-inverting amplifier shown below. 2. Assume RF = 100Kohm, R1=10Kohm, R2=20Kohm, V1=V2=.5sin(400pi*t)V. Draw the waveform expected at Vo. 3. Assume the same circuit except V1=V2=triangular input with a peak to eak value, zero average value with a frequency of 100hz. Draw the waveform expected at Vo. 2. Derive the gain expression for the circuit below.

Explanation / Answer

1. using voltage divider you get :

v1 = [R1/(R1+Rf)] vo

so vo/v1 = (R1 + Rf) / R1

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2. here VB = 0 , so :

(V1 - 0) / R1 + (V2 - 0) / R2 = (0 - Vo) / Rf

so V1/R1 + V2/R2 = - Vo / Rf

=> Vo = - Rf ( V1/R1 + V2/R2 )

Vo = - ( Rf/R1 V1 + Rf/R2 V2 )

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