# Parallel resistor calculator

Parallel and total resistance calculator and formula

## Calculate total resistance and parallel resistance

This function calculates the total or parallel resistance of a parallel circuit using two resistors.

For the calculation, select whether the total or parallel resistance R2 should be calculated. Then enter the values and click on the Calculate button.

Resistance calculator

 What should be calculated? Total resistance Parallel resistor R2 Input Resistor R1 mΩ Ω kΩ MΩ Total resistance mΩ Ω kΩ MΩ Resistor R2 mΩ Ω kΩ MΩ Decimal places 0 1 2 3 4 6 8 10 Result Total resistance Resistance R2

## Formulas for resistance parallel circuit

In order to calculate the total resistance of several resistors connected in parallel, their conductance values are added. The conductance is the reciprocal of the resistance. The formula for three resistors connected in parallel is

$$\displaystyle \frac{1}{R_{ges}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$$

When calculating two parallel resistances, the total resistance can be calculated using the following formula.

$$\displaystyle R_{ges}=\frac{R_1· R_2}{R_1 + R_2}$$

The parallel resistance R2 is calculated using the following formula.

$$\displaystyle R_2=\frac{R_1· R_{ges}}{R_1 - R_{ges}}$$
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