5. (2pts) For the circuit shown in Fig. 3, derive the transfer function for v/v in terms of R1, R2, C, and jo

and find the expressions for the magnitude and phase responses. Express your results in the form

Vet

Vo.

1

Vin (1+1) -)(1+

R1

CF

wp2

R2

Volt)

Fig. 3. Second order low pass filter

where and are the pole frequency locations (in radians/second) in terms of R1, R2, and C.