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Inverting Op Amp Gain Calculation

Inverting Amplifier Formula:

\[ Gain = -\frac{R_f}{R_i} \]

ohm
ohm

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1. What is Inverting Op Amp Gain?

The inverting operational amplifier configuration produces an output that is 180° out of phase with the input signal. The gain determines how much the input signal is amplified and inverted.

2. How Does the Calculator Work?

The calculator uses the inverting amplifier formula:

\[ Gain = -\frac{R_f}{R_i} \]

Where:

Explanation: The negative sign indicates phase inversion. The gain magnitude is determined by the ratio of the feedback resistor to the input resistor.

3. Importance of Gain Calculation

Details: Proper gain calculation is essential for designing amplifier circuits with desired signal amplification characteristics while maintaining stability and avoiding distortion.

4. Using the Calculator

Tips: Enter both resistor values in ohms. The values must be positive numbers greater than zero. The calculator will compute the gain (a dimensionless ratio).

5. Frequently Asked Questions (FAQ)

Q1: Why is the gain negative?
A: The negative sign indicates that the output signal is inverted (180° phase shift) relative to the input signal.

Q2: What are typical resistor values?
A: Common values range from 1kΩ to 100kΩ, but the specific values depend on application requirements and op amp specifications.

Q3: Can the gain be less than 1?
A: Yes, if Rf is smaller than Ri, the gain magnitude will be less than 1 (attenuation).

Q4: What are the limitations of this formula?
A: This assumes an ideal op amp with infinite gain, infinite input impedance, and zero output impedance. Real-world op amps have limitations.

Q5: How does this differ from non-inverting amplifier?
A: The non-inverting configuration has positive gain (no phase inversion) and uses a different gain formula: 1 + (Rf/Ri).

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