(a) A differential-amplifier has a differential-mode gain of \(A_{d}=250\) and a common-mode rejection ratio of \(\mathrm{CMRR}_{\mathrm{dB}}=\infty\). A differential-mode input signal of \(v_{d}=1.5 \sin \omega t \mathrm{mV}\) is applied along with a common-mode input signal of \(v_{c m}=3 \sin \omega t \mathrm{~V}\). Assuming the common-mode gain is positive, determine the output voltage.

(b) Repeat part (a) if the common-mode rejection ratio is \(\mathrm{CMRR}_{\mathrm{dB}}=80 \mathrm{~dB}\).

(c) Repeat part (a) if the commonmode rejection ratio is \(\mathrm{CMRR}_{\mathrm{dB}}=50 \mathrm{~dB}\).