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transfer function of the the unity gain inverter

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Consider the unity gain inverter made with an opamp. The opamp is ideal except A(w) = B/jw where B, the unit gain bandwidth of the opamp, is a constant (rps).

Find the transfer function H(w)=V0(w)/Vs(w) as a function of A.
Substitute the expression for A(w) and find the magnitude and phase of H(w). Plot the magnitude (dB) and phase of H(w) on a Bode plot (vs log w).

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Solution Summary

It finds the transfer function of the unity gain inverter. It also draws the Bode plot for the magnitude and phase of the transfer function H(w). The solution is detailed and was rated '5/5' by the student who posted the questions originally.

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Please see the attached file.

(a) For a ideal unity gain inverter as the following

In this analysis we need to take the open loop gain A to consideration.
(1)(Negative and positive inputs of the opamp).

Then at the negative node,

The positive input
Substituting VP and VN to equation (1) gives
...

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