Op-Amps with Thevenins

The questions below are due on Monday April 14, 2025; 10:00:00 PM.
 
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Solve for the voltage v_o in each of the following circuits. Assume that the following:

represents a circuit whose Thévenin equivalent voltage and resistance are V_{T} and R_{T}, respectively, where V_T is open-circuit voltage measured from the + terminal to the - terminal.

Make the ideal op-amp assumption, and enter your answer as a simple Python expression in terms of V_T (all caps), R_T (all caps), and any other voltages or resistances necessary from the circuit (e.g., V_1, R_1, etc).

1) Circuit 1

v_o =~

2) Circuit 2

v_o =~

3) Circuit 3

v_o =~

4) Circuit 4

v_o =~