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Given that CMRR is 100dB. Input common-mode voltage is 12 V. Differential voltage gain is 4000. Calculate output common-mode voltage.

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Given that CMRR is 100dB. Input common-mode voltage is 12 V. Differential voltage gain is 4000. Calculate output common-mode voltage.

(a) 48V

(b) 0.48V

(c) 20V

(d) 11V

This question was posed to me during an online interview.

My question comes from Operational Amplifiers topic in chapter Op-amps and its Applications of Analog Circuits

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Right answer is (b) 0.48V

Best explanation: CMRR = 20 log(AD/ACM) = 20 log(4000×12/Vocm) = 100

Log(48000/VOCM) = 5

48000/VOCM = 10^5

VOCM = 0.48V.

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