# Resistors calculations and voltage divider

Contents

## Introduction

This post explains some basic calculations with resistors and voltage dividers.

## Resistors in series

When resistors are used in series, we can simplify the circuit to make calculations easier.

As shown in figure 1, if we have two resistors in series with values Ra and Rb, the equivalent resistance is the sum of both.

Using Ohm’s law, this makes it much easier to calculate the current flowing in the circuit:

In figure 2, a more generic example is shown, where there are n resistors in series.

In this case, the equivalent resistor has a value equal to the sum of the values of each resistor in series, as shown below:

## Resistors in parallel

When resistors are used in parallel, as shown in figure 3, it’s also possible to simplify the circuit.

In this case, the equivalent resistance is given by the equation below:

Once we have the equivalent circuit, we can calculate the current flowing with the same equation used before.

Then again, in the generic case with n resistors in parallel,  we have the equation bellow:

## Voltage divider

The voltage divider is a very simple circuit that can be used to lower a certain voltage. The circuit, shown in figure 5, is the same as the one shown in figure 1.