An OP AMP has CMRR = 100 dB and open-loop gain =250000. Determine the common mode gain ACM

Question

An OP AMP has CMRR = 100 dB and open-loop gain =250000.

Determine the common mode gain ACM

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Phúc Điền 5 months 2021-08-31T05:28:55+00:00 1 Answers 8 views 0

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    2021-08-31T05:29:59+00:00

    Answer:

    ACM = 2.5

    Explanation:

    The common mode rejection ratio, is a parameter that is used to measure the ability of an Operational-Amplifier, to reject or eliminate the noises of same polarity. The common mode rejection ratio is given by the following formula:

    CMMR = AV/ACM

    for the value of CMMR in deciBels (dB), the formula becomes:

    CMMR = 20 log(AV/ACM)

    where,

    CMMR = Common Mode Rejection Ratio = 100 dB

    AV = Open Loop Gain = 250000

    ACM = Common Mode Gain = ?

    Therefore,

    100  = 20 log (250000/ACM)

    100/20 = log (250000/ACM)

    10⁵ = 250000/ACM

    ACM = 250000/10⁵

    ACM = 2.5

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