OP-Amp as Differential Amplifier

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Operational Amplifier as Differential Amplifier

Operational Amplifier as Differential Amplifier

Operational Amplifier as Differential Amplifier

Derivation of the equation for the output voltage considering that all 4 resistors R1 to R4 are of different values:

Case:  VIN1 = 0 and thus Vi- = 0:

Calculation of Vi+ via voltage divider:

For the partial output voltage VOUT+ you get:

Eq. (1) in Eq. (2) results in

Case: VIN2 = 0 and therefore Vi+ = 0:

Bringing together equations (3) and (4):

If the input voltage in both inputs should be acquired in the same way:

The symmetry of the resistors must be right, i.e. the resistance ratios R1=R2 and R3=R4 must apply so that the operational amplifier, as a differential amplifier, acquires the same voltages at its inputs in the same way: