Resistors in parallel

Calculator and formulas for calculating resistors in parallel

Calculate resistance parallel connection


When resistors are connected in parallel, the current is distributed over the individual resistors.

Parallel connection of resistors

Calculate total resistance


Exponents are not allowed. Enter all values in a suitable, equal unit of measurement. If you enter all values, e.g. in kOhm, the result is also displayed in kOhm.

For the calculation, enter the values of the individual resistors separated by a semicolon.
Example: 33; 12,1; 22


Resistors in parallel calculator

 Enter the resistances separated by semicolonst
Decimal places
  Result
Total resistance:

Formulas for resistors in parallel


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

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

If the total resistance of two parallel resistors is to be calculated, the following formula can be used.

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

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