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Inverting Amplifier Gain Formula:
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The inverting amplifier gain represents the voltage amplification factor of an inverting operational amplifier circuit. It determines how much the input signal is amplified and inverted at the output.
The calculator uses the inverting amplifier gain formula:
Where:
Explanation: The gain is determined solely by the ratio of the feedback resistor to the input resistor. The negative sign indicates that the output signal is 180 degrees out of phase with the input signal.
Details: Accurate gain calculation is crucial for designing amplifier circuits, signal processing applications, audio equipment, and instrumentation systems where precise voltage amplification is required.
Tips: Enter both resistor values in ohms (Ω). Ensure values are positive and non-zero. The calculator will compute the voltage gain as a dimensionless quantity.
Q1: Why is the gain negative?
A: The negative sign indicates that the amplifier inverts the input signal phase by 180 degrees, which is characteristic of inverting amplifier configurations.
Q2: What are typical gain values?
A: Gain values typically range from 1 to 1000 or more, depending on the application. Very high gains may require special consideration for stability and noise.
Q3: Can I use resistors with different units?
A: As long as both resistors use the same unit (Ω, kΩ, MΩ), the ratio remains the same and the gain calculation is valid.
Q4: What are the limitations of this formula?
A: This formula assumes ideal op-amp conditions (infinite input impedance, zero output impedance, infinite gain). Real-world op-amps have limitations that may affect performance.
Q5: How does this differ from non-inverting amplifier gain?
A: Non-inverting amplifier gain is calculated as \( 1 + \frac{R_f}{R_{in}} \) and does not invert the signal phase.