A certain amplifier has a differential gain of 500 . If the...

A certain amplifier has a differential gain of $500 .$ If the two input terminals are tied together and a $10-\mathrm{mV}$ -rms input signal is applied, the output signal is $20 \mathrm{mV}$ rms Find the CMRR for this amplifier.

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Key Concepts

Differential Gain

Differential gain is the ratio of the change in the amplifier's output to the difference in its input signals. It quantifies how effectively the amplifier amplifies the intended (differential) signal, and is a characteristic parameter of differential amplifier designs that largely determines the desired signal amplification.

Common-mode Gain

Common-mode gain refers to the amplification factor applied to signals that are common to both inputs of a differential amplifier. Ideally, these common-mode signals should be rejected, meaning the common-mode gain should be as low as possible to prevent unwanted noise and interference from affecting the output.

Common-mode Rejection Ratio (CMRR)

CMRR is defined as the ratio of the differential gain to the common-mode gain. It quantifies an amplifier's ability to reject common-mode signals relative to its amplification of differential signals. A high CMRR indicates that the amplifier effectively amplifies the intended differential signal while minimizing the influence of noise and interference that appear simultaneously on both inputs.

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