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A differential amplifier has (i) CMMR= 1000 and (ii) CMRR= 10000.
The first set of inputs is V1= 100 μV and V2, = -100μV.
The second set of inputs is V1= 1100 μV and V2 = 900 μV.
What is the percentage difference in output voltage obtained for the two sets of input voltages?
  • a)
    1.0 %
  • b)
    0.25 %
  • c)
    0.5 %
  • d)
    0.15 %
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A differential amplifier has (i) CMMR= 1000 and (ii) CMRR= 10000.The f...
we know that
Now,
From equation (iii) and (iv), the percentage difference in output voltage obtained for the two sets of input voltages
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A differential amplifier has (i) CMMR= 1000 and (ii) CMRR= 10000.The f...
And V2= 101, and the second set is V1= 1000 and V2= 1001. The common-mode voltage is 10V in both cases.

(i) CMMR= 1000 means that the amplifier can reject common-mode signals by a factor of 1000. In the first set of inputs, the common-mode voltage is 10V, so the output voltage due to the common-mode signal would be:

Vcm = (V1 + V2)/2 = (100 + 101)/2 = 100.5V

Since the differential voltage is only 1V, the differential gain of the amplifier is:

Ad = (Vout/Vin) = (V2 - V1)/Ad = 1/Ad

To eliminate the common-mode voltage, the differential gain should be:

Ad = CMMR/CMRR = 1000/10000 = 0.1

Therefore, the output voltage due to the differential signal would be:

Vout = Ad (V2 - V1) = 0.1 * 1 = 0.1V

The total output voltage would be:

Vout = Vcm + Vout_diff = 100.5V + 0.1V = 100.6V

(ii) In the second set of inputs, the differential voltage is 1V, and the common-mode voltage is still 10V. The differential gain of the amplifier should be:

Ad = CMMR/CMRR = 1000/10000 = 0.1

The output voltage due to the differential signal would be:

Vout_diff = Ad (V2 - V1) = 0.1 * 1 = 0.1V

The total output voltage would be:

Vout = Vcm + Vout_diff = 10V + 0.1V = 10.1V

Therefore, the common-mode rejection ratio of the amplifier is not sufficient to eliminate the common-mode voltage completely, and there is still a small output voltage due to the common-mode signal.
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A differential amplifier has (i) CMMR= 1000 and (ii) CMRR= 10000.The first set of inputs is V1= 100 μV and V2, = -100μV.The second set of inputs is V1= 1100 μV and V2 = 900 μV.What is the percentage difference in output voltage obtained for the two sets of input voltages?a)1.0 %b)0.25 %c)0.5 %d)0.15 %Correct answer is option 'C'. Can you explain this answer?
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A differential amplifier has (i) CMMR= 1000 and (ii) CMRR= 10000.The first set of inputs is V1= 100 μV and V2, = -100μV.The second set of inputs is V1= 1100 μV and V2 = 900 μV.What is the percentage difference in output voltage obtained for the two sets of input voltages?a)1.0 %b)0.25 %c)0.5 %d)0.15 %Correct answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A differential amplifier has (i) CMMR= 1000 and (ii) CMRR= 10000.The first set of inputs is V1= 100 μV and V2, = -100μV.The second set of inputs is V1= 1100 μV and V2 = 900 μV.What is the percentage difference in output voltage obtained for the two sets of input voltages?a)1.0 %b)0.25 %c)0.5 %d)0.15 %Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A differential amplifier has (i) CMMR= 1000 and (ii) CMRR= 10000.The first set of inputs is V1= 100 μV and V2, = -100μV.The second set of inputs is V1= 1100 μV and V2 = 900 μV.What is the percentage difference in output voltage obtained for the two sets of input voltages?a)1.0 %b)0.25 %c)0.5 %d)0.15 %Correct answer is option 'C'. Can you explain this answer?.
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