Home
Back
Output Formula:
| From: | To: |
The Output = Gain × Input equation calculates the signal output by multiplying the gain factor with the input signal. This fundamental equation is widely used in electronics, signal processing, and control systems to determine the amplified output signal.
The calculator uses the simple multiplication formula:
Where:
Explanation: The output signal is directly proportional to the input signal, scaled by the gain factor. A gain greater than 1 amplifies the signal, while a gain less than 1 attenuates it.
Details: Accurate output calculation is crucial for designing and analyzing electronic circuits, audio systems, control systems, and signal processing applications to ensure proper signal amplification and system performance.
Tips: Enter the gain factor and input signal values. Both values must be valid numerical values. The calculator will compute the output signal by multiplying gain and input.
Q1: What does a gain of 1 mean?
A: A gain of 1 means the output signal is identical to the input signal - no amplification or attenuation occurs.
Q2: Can gain be negative?
A: Yes, a negative gain indicates phase inversion, where the output signal is inverted relative to the input signal.
Q3: What are typical gain values in real applications?
A: Gain values vary widely depending on the application - from fractional values (attenuators) to very large values (amplifiers), typically ranging from 0.001 to 100,000 or more.
Q4: Does this equation work for both AC and DC signals?
A: Yes, the basic output = gain × input equation works for both AC and DC signals, though additional considerations may apply for AC signals regarding frequency response.
Q5: How does this relate to decibels (dB)?
A: Gain is often expressed in decibels using the formula: Gain(dB) = 20 × log₁₀(gain). This logarithmic scale is useful for representing large ranges of gain values.