\[A_v=\frac{V_{out}}{V_{in}}\]
Variables
Avvoltage gain
Voutoutput voltage (V)
Vininput voltage (V)
Description
What is this formula?
The Voltage Gain formula calculates how much an amplifier increases or decreases an input voltage signal. It is one of the most fundamental parameters in electronics and amplifier analysis.
When to use it
Use this formula when analyzing electronic amplifiers, operational amplifiers, transistor circuits, audio systems, or any circuit where an input signal is amplified.
Example
An amplifier receives an input voltage of 0.2 V and produces an output voltage of 10 V.
Given:
Vin = 0.2 V
Vout = 10 V
Formula:
Av = Vout / Vin
Substitution:
Av = 10 / 0.2
Result:
Av = 50
The amplifier has a voltage gain of 50.
Applications
Audio amplifiers, operational amplifier circuits, sensor signal conditioning, RF amplifiers, instrumentation electronics, and communication systems.