I searched three detailed books that had hundreds of pages about op-amps and I can't find the solution to this problem. I think there's a simple solution but I just can't work it out..
Here's the schematic of the op-amp differential amplifier: : R2 ---------/\/\/\/\/\---------- | | | | | | | \ | R1 | \ | Vi_1 --------------/\/\/\/\/\--------- - \ | | ----------------------| V_o R3 | / Vi_2 --------------/\/\/\/\/\---------- + / | | / | | R4 \-----/\/\/\/\/\----- | | Gnd
The first part is to give V_o in terms of the other variables, which is easy enough and is in the books. The next part is:
Vi_1(t) = 10^(-3) Sin(2pi x 10^3t) + Vn(t) Vi_2(t) = 10^(-3) Cos(2pi x 10^3t) + Vn(t)
R_1 = R_2 = 1kohm R_2 = R_4 =
30kohmwhere Vn(t) denotes unwanted noise. If the Common Mode Rejection Ratio (CMMR) of the op-amp is 97 dB and both inputs are "contaminated" with
50 Hz noise of average amplitude 1V, calculate the ratio of output signal amplitude to average output noise amplitude.I know what the CMMR equation is but the frequencies are confusing me...