Tuesday, 10 March 2026

 

Operational Amplifiers – Complete Theory

Page 8 – Differential Amplifier (Subtractor)

                                     
Picture used in analog electronics

The Differential Amplifier is an operational amplifier circuit that amplifies the difference between two input signals.

It is also called a Subtractor Circuit.


Purpose of Differential Amplifier

  • Amplifies the difference between two voltages
  • Rejects common noise signals
  • Used in instrumentation and sensor circuits

Circuit Components

  • Four resistors (R1, R2, R3, R4)
  • Two input voltages (V1 and V2)
  • One operational amplifier

Voltage at Non-Inverting Terminal

Using voltage divider:

V+ = (R4 / (R3 + R4)) × V2


Voltage at Inverting Terminal

Using op-amp property:

V− ≈ V+


Output Voltage Derivation

The general output equation is:

Vout = (R2 / R1) (V2 − V1)


Special Case (Balanced Differential Amplifier)

If

R1 = R3 R2 = R4

Then

Vout = (R2/R1) (V2 − V1)


Applications

  • Instrumentation amplifiers
  • Noise rejection circuits
  • Sensor signal conditioning
  • Data acquisition systems

GATE Important Points

  • Amplifies difference between two inputs
  • Rejects common-mode signals
  • Used in instrumentation amplifiers
  • Important concept: Common Mode Rejection Ratio (CMRR)

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