Before You Cross the Street...

The questions below are due on Monday November 18, 2024; 10:00:00 PM.

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Each of the networks below has two indicated ports. For each, find the equivalent impedance from the perspective of port 1 while assuming the port 2 is left open; and then from the perspective of port 2, assuming port 1 is left open.

Enter your answers as Python expressions. Use L, C, R_1, R_2, omega, and j for L, C, R_1, R_2, \omega, and j, respectively. You may also use par(x, y) to represent the parallel combination of two impedances if you don't wish to solve out completely.

Network 1:

Equivalent impedance for Network 1, Port 1 (assuming Port 2 is open):

Equivalent impedance for Network 1, Port 2 (assuming Port 1 is open):

Network 2:

Equivalent impedance for Network 2, Port 1 (assuming Port 2 is open):

Equivalent impedance for Network 2, Port 2 (assuming Port 1 is open):