Hi Guys, I am solving a question here, if have a Transfer functionwritten for an

Question

Hi Guys,
I am solving a question here, if have a Transfer functionwritten for an op amp circuit that acts as a low pass filter:
-R2/R1 / (1 +jCR2) , and for an input signalof 3cos(2.5x10^6)t mV , i found the gain to be 5. This isusing the frequency from the input signal as 400 kHz, and the unitygain frequency in this problem given to be 2 MHz.
i have to now find the Peak output voltage. Any ideas how ican go about doing this?
I am a little confused as to what the peak actually means andhow i would go about getting the amplitude of the transfer function(would it have to involve the complex variable and solve usingcomplex algebra) ?
Thanks for your help
Faiz
I am solving a question here, if have a Transfer functionwritten for an op amp circuit that acts as a low pass filter:
-R2/R1 / (1 +jCR2) , and for an input signalof 3cos(2.5x10^6)t mV , i found the gain to be 5. This isusing the frequency from the input signal as 400 kHz, and the unitygain frequency in this problem given to be 2 MHz.
i have to now find the Peak output voltage. Any ideas how ican go about doing this?
I am a little confused as to what the peak actually means andhow i would go about getting the amplitude of the transfer function(would it have to involve the complex variable and solve usingcomplex algebra) ?
Thanks for your help
Faiz

Explanation / Answer

Given the input voltage vin = 3cos(2.5x106)t mV = 2.5x106 rad/s f = 398khz ˜ 400khz If unity gain frequency is 2MHz Gain A = 5 The output voltage is gain times the input voltage vo(t) = (5) ( 0.003cos(2.5x106)t]   vo(t) = 0.015cos(2.5x106)t The peak output voltage will be Vo = 0.015V or 15mV   vo(t) = 0.015cos(2.5x106)t The peak output voltage will be Vo = 0.015V or 15mV  

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