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Exercise Problems · Q11

Q.Calculate the output voltage.

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[!TLDR]

The three stages give an overall gain of about +37,790+37{,}790, so the 80 μV80\,\mu\text{V} input produces VO≈3.0233 VV_O\approx3.0233\text{ V}.

The overall gain is the product of the three stage gains.

Stage 1 (non-inverting, source at ++):

A1=1+560k4.3k=1+130.23=131.23A_1=1+\dfrac{560\text{k}}{4.3\text{k}}=1+130.23=131.23

Stage 2 (inverting):

A2=−560k33k=−16.97A_2=-\dfrac{560\text{k}}{33\text{k}}=-16.97

Stage 3 (inverting):

A3=−560k33k=−16.97A_3=-\dfrac{560\text{k}}{33\text{k}}=-16.97

Overall gain:

A=A1A2A3=131.23×(−16.97)×(−16.97)≈+37,790A=A_1A_2A_3=131.23\times(-16.97)\times(-16.97)\approx+37{,}790

Hence

VO=A×80 μV≈37,790×80×10−6≈3.0233 VV_O=A\times80\,\mu\text{V}\approx37{,}790\times80\times10^{-6}\approx3.0233\text{ V} …

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