Calculate the total output voltage for a differential amplifier in whi...
CMRR=
So
The differential input is
V
diff = V
2 - V
1 = - 0.48 - (0.45) mV = -.03 mV and common mode input is
Total output voltage
≈ -30 volt
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Calculate the total output voltage for a differential amplifier in whi...
Understanding Differential Amplifier Output Voltage
To calculate the total output voltage of a differential amplifier, we need to consider the input voltages, the differential gain, and the common-mode rejection ratio (CMRR).
Given Values:
- Inverting terminal voltage (V-) = -0.45 mV
- Non-inverting terminal voltage (V+) = -0.48 mV
- Differential gain (Adiff) = 10^6
- CMRR = 80 dB
Step 1: Calculate the Differential Input Voltage
- Differential input voltage (Vd) = V+ - V-
- Vd = (-0.48 mV) - (-0.45 mV) = -0.03 mV
Step 2: Calculate the Output Voltage
- The output voltage (Vo) is calculated using the formula:
Vo = Adiff * Vd
- Vo = 10^6 * (-0.03 mV)
- Vo = -30 V
Step 3: Understanding CMRR's Role
- CMRR helps to reduce the effect of common-mode signals, ensuring that the amplifier primarily responds to the differential input.
- A CMRR of 80 dB implies a high ability to reject common-mode signals, maintaining the integrity of the differential signal.
Conclusion:
The total output voltage of the differential amplifier, given the conditions and values provided, is calculated as -30 V. This demonstrates the amplifier’s significant amplification of the small voltage difference between the inputs.