Resistors in Series Calculator

Enter Resistance Values ($R$)

Equivalent Resistance ($R_{eq}$)

$$R_{eq} = 0 \ \Omega$$

Understanding Resistors in Series

This tool is designed to quickly calculate the total equivalent resistance ($R_{eq}$) when multiple resistors are connected in a series circuit.

In a series connection, all resistors are connected end-to-end, forming a single path for the current to flow. The total resistance of the circuit is simply the sum of the individual resistances. This phenomenon is governed by a very straightforward additive relationship:

$$R_{eq} = R_1 + R_2 + R_3 + \dots + R_n$$

where $R_{eq}$ is the equivalent resistance in ohms ($\Omega$), and $R_1, R_2, \dots, R_n$ are the resistances of the individual components. This concept is crucial for simplifying complex circuit diagrams and calculating overall current flow using Ohm’s Law ($V = I \cdot R$).

How to Use the Calculator

Initial Resistor: A single resistor input field is provided when you start. Enter the first resistance value in Ohms ($\Omega$). Only positive numbers are accepted.
Adding Resistors: If your circuit has more than one resistor, click the “+ Add Resistor” button to dynamically introduce a new input field ($R_2, R_3$, etc.).
Removing Resistors: If you accidentally add too many or wish to simplify your input, click the “Remove” button next to any input field to delete it.
Calculate: Once all your resistor values ($R_1$ through $R_n$) are entered, click the “Calculate Equivalent Resistance ($R_{eq}$)” button.
Interpreting the Result: The tool will display the calculated equivalent resistance $R_{eq}$ in the result box. The value is rounded to two decimal places if it is not an exact integer. The unit of resistance is always Ohms ($\Omega$).