A differential amplifier has a differential gain A d of 100 and c

A differential amplifier has a differential gain A d of 100 and c
| A differential amplifier has a differential gain Ad of 100 and common mode gain Ac of 0.1. What is its CMRR?

A. 10 dB

B. 20 dB

C. 30 dB

D. 60 dB

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

Concept:

CMRR (Common mode rejection ratio) is defined as the ratio of differential-mode voltage gain (Ad) and the common-mode voltage gain (Ac).

Mathematically, in dB this is expressed as:

\(CMRR = 20\log \left| {\frac{{{A_d}}}{{{A_c}}}} \right| \)

Calculation:

Given Ad = 100

Ac = 0.1

\(CMRR = 20\log_{10} \left| {\frac{{{100}}}{{{0.1}}}} \right|~dB\)

\(CMRR = 20\log_{10} \left| {{{10^3}}} \right| ~dB\)

CMRR = 20×3 = 60 dB