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How to Solve Resistors in Series and Parallel
28 May 2017
Source: Electrical
Summary Description:
This tutorial provides a method of solving two or more resistors in Series/Parallel Configuration
Resources:

The resistor is a basic electrical component which offers resistance to the external circuit. There are two basic configurations of resistors:

1. Series Configuration
2. Parallel Configuration

## Series Configuration

In series configuration head of one component joins the tail of another and there is no third connection in between them. The image is shown below:

## series-circuit-configuration.png

In a series configuration, the equivalent resistance (Requivalent) is equal to the sum of individual resistors.

For example here:

Requivalent = R1 + R2 + R3

If,

R1 = 5 ohm

R2 = 10 ohm

R3 = 15 ohm

Then Requivalent = 30 ohm

## Parallel Configuration

The second configuration (being parallel) is a little bit complicated. Two or more components of in parallel if their heads share a single node and tails share another node.

## parallel-resistor-configuration.png

For parallel configuration the formula used is:

1/Requivalent = 1/R1 + 1/R2

Since this is the somewhat difficult formula you need some practice memorising it. If you have online access there is an easy solution here for solving parallel resistors.

Example for a parallel circuit,

If, R1 = 5 ohm

and R 2= 5 ohm

then

1/ Requivalent= 1/R1 + 1/R2.

and Requivalent = 2.5 ohms