GAIN and IMPEDANCE of a complex Circuit

[JamesJames]

I am supposed to calculate the gain of the circuit given in the attachment. I have attached it in a word file.

Z is the generic term for the effective resistance. I get that Z is

Z = [jwL +(R/jwC)]/(R+1/jwC)

Can someone tell me if this is correct?

Also, now for the gain, it is supposed to output Voltage/input voltage. For this example, is Z the output voltage and jwL + Z the input voltage ?

James

 

[JamesJames]

To view the attachment, just click on it and say open.

Any help would be really useful.

Thanks, James

 

[ehild]

Zab=(R/jwC)/(R+1/jwC),

Z = [jwL +(R/jwC)/(R+1/jwC)]

Also, now for the gain, it is supposed to output Voltage/input voltage. For this example, is Z the output voltage and jwL + Z the input voltage ?

GRRRRRR. Z is impedance, not voltage. The output voltage is Vo * Zab/Z. So the gain is the magnitude of Zab/Z.

ehild