Summer Jams

The questions below are due on Monday November 18, 2024; 10:00:00 PM.
 
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Consider a circuit set up to act as a low-pass filter with a cutoff frequency of 250Hz (cycles/second). The following represents one possible input/output pair for the circuit (you may wish to use headphones to hear the difference):

Input signal v_i(t):

Output signal v_o(t):

Consider each of the following circuits, where R=1{\rm k}\Omega in each. For each, if it could be responsible for the input/output relationship above, specify the value of the other component in the circuit (either C or L, in units of Farads or Henries, respectively, accurate to 3 significant digits). You may use pi or e or ln or similar things if you want to enter a short Python expression instead of a number.

If it couldn't produce that input/output relationship, enter None (with a capital N like that) instead.

Component value, or None:

Component value, or None:

Component value, or None:

Component value, or None: