Consider the circuit shown in the figure with resistance 122

Consider the circuit shown in the figure, with resistance 1220 ohm and and capacitance 0.128 mu F. Calculate the ratio V_out/V_in for angular velocity 273 rad/s.

Solution

Maximum current in the circuit I=V_in/Z

where Z=sqrt(R^2+X_C^2)=sqrt{1220^2+(1/(273*0.128*10^-6))^2} =28643.2 ohm

=>I =Vin/28643.2

Vout =I*R =Vin/28643.2 *1220 =0.0426Vin

=>Vout/Vin =0.0426