Op-Amp Gain Calculator

Calculate voltage gain for inverting and non-inverting operational amplifier configurations

Calculate Op-Amp Gain

Resistance between input signal and inverting terminal

Resistance between output and inverting terminal

Op-Amp Gain Results

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Voltage Gain
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Gain in Decibels
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Magnitude

Configuration: Inverting Op-Amp

Formula: A = -Rf / Rin

Resistances: 0 / 0

Gain Analysis

Example Calculations

Inverting Amplifier Example

Input Resistance (Rin): 1 kΩ

Feedback Resistance (Rf): 10 kΩ

Formula: A = -Rf / Rin

Calculation: A = -10 kΩ / 1 kΩ = -10

Result: Gain = -10 (20 dB), signal inverted

Non-Inverting Amplifier Example

Resistance R1: 1 kΩ

Feedback Resistance R2: 10 kΩ

Formula: A = 1 + (R2 / R1)

Calculation: A = 1 + (10 kΩ / 1 kΩ) = 1 + 10 = 11

Result: Gain = 11 (20.8 dB), signal not inverted

Op-Amp Configurations

Inverting Configuration

• Input signal → Inverting terminal (-)

• Non-inverting terminal (+) → Ground

• Feedback resistor: Output → Inverting terminal

• Gain = -Rf / Rin

Non-Inverting Configuration

• Input signal → Non-inverting terminal (+)

• Voltage divider: R1 to ground, R2 feedback

• Both resistors connect at inverting terminal

• Gain = 1 + (R2 / R1)

Op-Amp Design Tips

Use precision resistors for accurate gain

Higher gains increase noise and instability

Non-inverting has higher input impedance

Consider op-amp bandwidth limitations

Add compensation for high-frequency stability

Understanding Operational Amplifiers

What is an Op-Amp?

An operational amplifier (op-amp) is a high-gain electronic voltage amplifier with differential inputs. It amplifies the difference between two input voltages and provides a single-ended output. Op-amps are fundamental building blocks in analog electronics.

Key Characteristics

  • Very high input impedance (typically >1 MΩ)
  • Very low output impedance (typically <100 Ω)
  • High open-loop gain (typically 100,000+)
  • Wide bandwidth and good frequency response

Applications

  • Signal amplification and conditioning
  • Active filters and oscillators
  • Mathematical operations (addition, integration)
  • Comparators and voltage references
  • Instrumentation and measurement circuits

Golden Rules: For ideal op-amps with negative feedback: (1) No current flows into input terminals, (2) Voltage difference between inputs is zero.

Inverting vs Non-Inverting

Inverting Configuration

  • • Output inverted (180° phase shift)
  • • Lower input impedance (≈ Rin)
  • • Gain: A = -Rf / Rin
  • • Virtual ground at inverting input

Non-Inverting Configuration

  • • Output in phase with input
  • • Very high input impedance
  • • Gain: A = 1 + (R2 / R1)
  • • Minimum gain is 1 (unity gain buffer)

Design Considerations

  • Bandwidth: Higher gain reduces bandwidth (GBW product)
  • Stability: Add compensation for high gains
  • Noise: Lower resistance values reduce thermal noise
  • Offset: Input offset voltage affects DC accuracy
  • Power Supply: Consider rail-to-rail operation