Enter the input and output voltages into the calculator to determine the gain of a resistor. The gain is a unitless value that represents the ratio of output voltage to input voltage in a resistor circuit.

Resistor Gain Formula

The following formula is used to calculate the gain of a resistor.

G = Vout / Vin

Variables:

  • G is the gain (unitless)
  • Vout is the output voltage (V)
  • Vin is the input voltage (V)

To calculate the gain of a resistor, divide the output voltage by the input voltage.

What is Resistor Gain?

Resistor gain is a measure of how much a resistor circuit amplifies the input voltage to produce the output voltage. It is a crucial parameter in electronic circuits, especially in amplifiers, where precise control of voltage gain is necessary for the circuit’s performance. The gain is typically a unitless value, as it is the ratio of two voltages.

How to Calculate Resistor Gain?

The following steps outline how to calculate the Resistor Gain.


  1. First, measure or determine the input voltage (Vin) to the resistor circuit.
  2. Next, measure or determine the output voltage (Vout) from the resistor circuit.
  3. Use the formula G = Vout / Vin to calculate the gain.
  4. Finally, compare the calculated gain with the desired gain for your application to ensure the resistor circuit is operating correctly.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Input voltage (Vin) = 2 V

Output voltage (Vout) = 10 V