Equivalent Resistance Req Calculator

Series and Parallel resistor configuration for series and parallel calculator tool.

Resistor R1:

Resistor R2:

Equivalent Resistance (Req):

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Using the Equivalent Resistance Calculator

Series Equivalent Resistance Calculator

To use the series resistance calculator, set the Series/Parallel option to “Series.” Then, under Value to Calculate select the value you wish to calculate. Next, enter the known values (R1, R2, or Req). Finally, press Calculate.

For example, you set R1 to 10k ohms and R2 to 1.2k ohms. When you click Calculate, the equivalent resistance of the series combination will appear in the Req box.

Calculating Series Equivalent Resistance

To calculate the equivalent series resistance of n resistors, simply add up the resistance of each resistor. Equation 1 shows the standard series resistance equation, which is used by the calculator above.

Series Equivalent Resistance Equation
Equation 1: Series Equivalent Resistance Equation

Parallel Equivalent Resistance Calculator

To use the parallel resistance calculator, set the Series/Parallel option to “Parallel.” Then, under Value to Calculate select the value you wish to calculate. Finally, press Calculate to initiate the calculation.

For example, you can enter 11k ohms into the Req field and 22k ohms into the R1 field. Set the Value to Calculate field to R2, then press Calculate. The result is 22k ohms for R2, revealing that you will need two 22k ohm resistors in parallel to make 11k ohms.

Calculating Parallel Equivalent Resistance

To calculate the equivalent parallel resistance of n resistors, use the standard parallel resistance equation:

Generic parallel calculator equation.
Equation 2: Parallel Equivalent Resistance Equation

To calculate the equivalent parallel resistance of two resistors, the equation simplifies to:

The equation used for the parallel resistance calculator. R1 times R2 over R1 plus R2.
Equation 3: Equivalent Resistance of Two Resistors in Parallel

For calculating R1 or R2, the following equation is used. Assume R1 is the one you want to calculate (the equation is the same for R2):

Equation to calculate a resistance value from parallel combination, derived from standad parallel resistance formula.
Equation 4: Used to calculate resistor values for a desired equivalent resistance.

Rules for Resistor Values

Input the value of the resistor in the corresponding input field. Choose the resistance unit using the dropdown menu to the right of each input field. The following unit suffixes are available:

  • k = kilo = x 1000
  • M = Mega = x 1000000

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