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Opamp transfer function magnitude and phase

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Consider the circuit. The opamp is ideal.

Find the transfer function H(w)=Vo(w)/Vs(w).

Find the magnitude and phase of H(w).

Plot the magnitude (dB) and phase of H(w) on a Bode plot (vs log w).

What type of filter is this?

See attached file for full problem description.

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Solution Preview

Please see the attached file.

We analyze the circuit in the s-domain, where

In the s-domain, the impedance of the capacitor is .
For the ideal opamp, at the negative input node of the opamp, applying KCL, we have

At the positive node,

Then VN = VP, so

Then the ...

Solution Summary

The op-amp circuit is analyzed, such as its transfer function, magnitude, phase, and Bode plot. The solution is detailed and was rated '5/5' by the student who originally posted the questions.