$25
1. Obtain the step response of the circuit above. Use the signal toolbox of last week’sassignment.
2. The input is
vi Volts
Determine the output voltage v0(t)
Consider the following circuit (from page 274 of Horowitz and Hill)
The values you can use are R1 = R3 = 10kΩ, C1 =C2 = 1nF, and G = 1.586.
3. Analyse the circuit using Sympy as explained above, i.e., create a function similar tothe one defined above. For the same choice of components and gain, this circuit is a highpass filter.
4. Obtain the response of the circuit to a damped sinusoid (i.e., use suitable Vi). Use signal.lsim to simulate the output.
5. Obtain the response of the circuit to a unit step function. Do you understand theresponse? (Just define Vi to be 1/s)