Chapter 7, Problem 7.12P

For the circuit shown in Figure P7.12, the parameters are $R_1=10\text{kΩ}$ , $R_2=10\text{kΩ}$ , $R_3=40\text{kΩ}$ , and $C=10\text{μF}$ . (a) What is the value of the voltage transfer function $V_o/V_i$ at very low frequencies? (b) Determine the value of the voltage transfer function at very high frequencies. (c) Derive the expression for the voltage transfer function $T(s)=V_o(s)/V_i(s)$ . Put the expression in the form $T(s)=K(1+s{\tau }_A)/(1+s{\tau }_B)$ . What are the values of K, ${\tau }_A$, and ${\tau }_B$ ?

Figure P7.12