For the active first-order filter circuit shown in Figure 3, R1 = 1kΩ, R = 10kΩ, and C = 10nF.
Find the transfer function H(s) of the filter circuit.
Find the frequency response function H(jω) of the filter circuit.
Find the DC (ω = 0) gain of the filter circuit.
Find the gain when the frequency approaches infinity, i.e., limω→∞ |H(jω)|.
Find the cut-off frequency of the filter circuit.
Plot the straight-line approximation of the magnitude Bode diagram of H(jω).
Plot the straight-line approximation of the phase Bode diagram of H(jω).
State the type of filter according to the Bode plot obtained.