Question

For circuit (i) only, find the transfer function H(s)=Vₒᵤₜ (s)/Vᵢₙ.

Substitute s of the transfer function with jω (where j²=-1 and ω represents angular frequency), to form a complex number H(jω) ).
For ω=2π∗1000 (i.e., 1KHz ), ω=2π∗10000 (i.e., 10KHz ), ω=2π∗100000 (i.e. 100KHz ), respectively, find the
magnitude and phase of H(jω) using MATLAB.

Answer 1

To find the magnitude and phase of H(jω) for different frequencies, substitute jω into the transfer function H(s) and calculate it using MATLAB.

Step-by-step explanation:

To find the magnitude and phase of H(jω), we need to substitute jω into the transfer function H(s) and calculate it for different values of ω. Let's consider the frequency values given in the question: ω=2π∗1000, ω=2π∗10000, ω=2π∗100000.

Using MATLAB, we can substitute jω into the transfer function and calculate H(jω) for each frequency value. The magnitude of H(jω) can be found by taking the absolute value of H(jω), and the phase can be found by taking the argument of H(jω).

For example, for ω=2π∗1000, we substitute j(2π∗1000) into H(s) and calculate the magnitude and phase of H(jω) using MATLAB.