Series Resistance Calculator

How to Calculate Series Resistance

When resistors are connected in series, the total equivalent resistance is the sum of all individual resistances. This calculator helps you determine the total resistance based on the values of the resistors in series.

Series Resistance Formula

The formula for calculating the total resistance of resistors in series is:

\[R_T = R_1 + R_2 + R_3 + \cdots + R_n\]

Where:

• R_T is the total equivalent resistance in ohms (Ω)
• R₁, R₂, R₃, ..., R_n are the individual resistances connected in series, also in ohms (Ω)

Calculation Steps

1. Identify the values of the individual resistances (R₁, R₂, R₃, ..., R_n) in ohms
2. Add all the resistance values together
3. The sum is the total equivalent resistance (R_T)

Example Calculation

Let's walk through an example calculation using our series resistance calculator:

Given:

• R₁ = 10 Ω
• R₂ = 20 Ω
• R₃ = 30 Ω

Step 1: Add all the resistance values:

\[R_T = R_1 + R_2 + R_3\] \[R_T = 10 \text{ Ω} + 20 \text{ Ω} + 30 \text{ Ω}\]

Step 2: Calculate the sum:

\[R_T = 60 \text{ Ω}\]

Therefore, the total equivalent resistance of the three resistors in series in this example is 60 ohms.

Series Resistors Diagram

This diagram illustrates resistors connected in series. The total equivalent resistance is the sum of all individual resistances in the series network.