Resistor 1
Ω
Resistor 2
Ω
Resistor 3
Ω
Resistor 4
Ω
Resistor 5
Ω
Resistance in series
Ω

The series resistor calculator is a tool for determining the equivalent resistance of a circuit with up to ten resistors connected in series. Read on or jump to the parallel resistor calculator.

Resistors in series formula

A series circuit is characterized by a common current that flows through all of the resistors - there is only one path the current can follow. The equivalent resistance for this kind of circuit is a sum of all individual resistances:

R = R1 + R2 +... + Rn

where:

  • R is the equivalent series resistance
  • R1, R2, ... Rn are the resistances of individual resistors numbered 1...n.

The units of all values are Ohms (symbol: Ω). 1 Ohm is defined as electrical resistance between two points that, when applied with a potential difference of 1 volt, produces a current of 1 ampere. Hence, 1Ω = 1V / 1A or, in SI base units, Ω = kg * m^2 / (s^3 * A^2).

How to calculate series resistance

  1. Establish the values of resistance for all resistors connected in series. For example, you can use three resistors of , and respectively.
  2. Input these values in our series resistor calculator. Open the advanced mode to determine the resistance of more than five components.
  3. Read the result. In this example, R = 4 + 3 + 6, hence R = 13 Ω.

Other uses of the series resistor calculator

The principle is the same as when determining capacitance in parallel or induction in series - you can use it for these calculations, too. Just remember that units are not the same!

If you would like to find out the value of power dissipated in the resistor, try the Ohm's law calculator.

Bogna Haponiuk

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Series Resistor Calculator