Explore BrainMass
Share

Explore BrainMass

    Op-Amp

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

    1. Show that gain rolls-off at -6 dB/octave for a passive LP filter.

    2. (a) Write down the expression for the frequency-dependent open-loop gain of an operational amplifier. Sketch the magnitude of the open-loop gain of an operational amplifier as a function of frequency. Explain what is meant by a `single-lag' response of an op-amp.
    (b) Using the example of a simple RC high-pass filter circuit, show how the inclusion of a coupling capacitor will limit the low frequency of any amplifier circuit.
    (c) Derive the expression for the high-frequency closed-loop gain of a basic non-inverting amplifier (the feedback equation). Sketch the circuit of the amplifier to illustrate your derivation. What is the feedback fraction β for this circuit?

    © BrainMass Inc. brainmass.com October 10, 2019, 2:25 am ad1c9bdddf
    https://brainmass.com/engineering/electrical-engineering/electrical-engineering-op-amp-376492

    Solution Preview

    ** Please see the attached document for the solution to the given problems **

    1. A passive low-pass filter has the gain formula:

    If X = R at the corner frequency, then the gain is -3dB. We have:
    (please see the attached file)

    From there, if we double the frequency from the corner frequency, which will half the value of X, we will see a trend that there is a -6dB/octave attenuation:
    (please see the attached file)
    ...

    Solution Summary

    This solution provides a detailed, step-by-step solution to the given problem.

    $2.19