Frequency Response

The questions below are due on Monday November 25, 2024; 10:00:00 PM.
 
You are not logged in.

Please Log In for full access to the web site.
Note that this link will take you to an external site (https://shimmer.mit.edu) to authenticate, and then you will be redirected back to this page.

Consider the following circuit:

Assuming a sinusoidal drive and output, i.e., v_s(t) = {\rm Re}(\tilde{V}_se^{j\omega t}) and v_o(t) = {\rm Re}(\tilde{V}_oe^{j\omega t}), determine the frequency response of this circuit.

Enter your answer as a Python expression below. Use omega, j, R, L, and C, as well as any other constants you might need. In case it comes up, remember that exponentiation is **, not ^.

\tilde{H}(\omega) = {\tilde{V_o}\over \tilde{V_s}} =~