Explore BrainMass

Explore BrainMass

    transfer function of the the unity gain inverter

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    See attached file for full problem description.

    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).

    © BrainMass Inc. brainmass.com May 20, 2020, 3:35 pm ad1c9bdddf


    Solution Preview

    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

    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.