Answer: The input to a circuit is the voltage vs. The output is the voltage vo. The step

Chapter 14, Problem P14.10-4

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QUESTION:

The input to a circuit is the voltage \(v_{\mathrm{s}}\). The output is the voltage \(v_0\). The step response of the circuit is

\(v_{\mathrm{o}}(t)=\left(40+1.03 e^{-8 t}-41 e^{-320 t}\right) u(t)\)

Determine the network function

\(\mathbf{H}(\omega)=\frac{\mathbf{V}_{\mathrm{o}}(\omega)}{\mathbf{V}_s(\omega)}\)

of the circuit and sketch the asymptotic magnitude Bode plot.

Questions & Answers

QUESTION:

The input to a circuit is the voltage \(v_{\mathrm{s}}\). The output is the voltage \(v_0\). The step response of the circuit is

\(v_{\mathrm{o}}(t)=\left(40+1.03 e^{-8 t}-41 e^{-320 t}\right) u(t)\)

Determine the network function

\(\mathbf{H}(\omega)=\frac{\mathbf{V}_{\mathrm{o}}(\omega)}{\mathbf{V}_s(\omega)}\)

of the circuit and sketch the asymptotic magnitude Bode plot.

ANSWER:

Step 1 of 5

Given step response is,

     

 

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