Operational Amplifiers – Complete Theory
Page 8 – Differential Amplifier (Subtractor)
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)
IfR1 = R3 R2 = R4
ThenVout = (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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