1. What is the Inverting Amplifier Gain?

The inverting amplifier gain is a measure of how much an operational amplifier circuit amplifies an input signal while inverting its phase. The gain is determined by the ratio of the feedback resistor (Rf) to the input resistor (Rin).

2. How Does the Calculator Work?

The calculator uses the inverting amplifier gain equation:

Where:

• \( R_f \) — Feedback resistor (ohms)
• \( R_{in} \) — Input resistor (ohms)
• The negative sign indicates phase inversion

Explanation: The gain is simply the ratio of the feedback resistor to the input resistor, with the output signal being inverted relative to the input.

3. Importance of Gain Calculation

Details: Calculating the gain is essential for designing amplifier circuits with specific amplification requirements, ensuring proper signal processing in electronic systems.

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 and show it as a unitless ratio.

5. Frequently Asked Questions (FAQ)

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

Q2: What are typical values for Rf and Rin?
A: Values typically range from hundreds of ohms to several megaohms, depending on the application and desired gain.

Q3: Can the gain be less than 1?
A: Yes, if Rin is greater than Rf, the gain will be between 0 and -1, resulting in signal attenuation rather than amplification.

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 may show slight deviations.

Q5: How does this differ from non-inverting amplifier gain?
A: The non-inverting amplifier gain formula is \( 1 + \frac{R_f}{R_{in}} \) and doesn't invert the signal phase.