For the circuit shown in Figure P6.70:
a. Determine the frequency response:
b. Sketch, by hand, the associated Bode magnitude and phase plots. List all the steps in constructing the plot. Clearly show the break frequencies on the frequency axis. (Hint: Use the MatlabTM command “roots” or a calculator to quickly determine the polynomial roots.)
c. Use the MatlabTM command “Bode” to generate the same plots. Verify your sketch.
Assume
R1 = R2 = 2k?, L = 2 H, C1 = C2 = 2 mF.
Analysis:
First, we find the Thévenin equivalent circuit seen by the capacitor:
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