The differential voltage gain and common mode voltage gain of a differential amplifier are 50 dB and 3 dB respectively, then common mode rejection ratio is

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  1. 48 dB
  2. 47 dB
  3. 52 dB
  4. 53 dB

Answer (Detailed Solution Below)

Option 2 : 47 dB
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Detailed Solution

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Concept:

The output voltage of op-amp is given by:

V0 = Ad Vd + Ac Vc

Where, Vd = V1 – V2

Ad = differential voltage gain

Ac = common mode voltage gain

Calculation:

Given, 

Differential voltage gain = 50 dB

Common mode voltage gain = 3 dB

CMRR = 20 log(Ad) - 20 log(Ac)

= 50 - 3 = 47 dB">CMVc=V1+V22Vc=V1+VVc=V1+V Given that Differential voltage gain = 47 dBCommon mode voltage gain = 2 

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