# Voltage Drop Calculator

Created by Bogna Szyk
Reviewed by Steven Wooding
Last updated: Dec 29, 2022

This voltage drop calculator is a simple tool that helps you determine what voltage is lost when the electric current moves through a wire and calculate the voltage output at the end of the cable. Alternatively, you can use it as a wire size calculator to decide which wire diameter will ensure that your voltage drop doesn't exceed acceptable levels.

If you still wonder how to calculate the voltage drop, look no further - simply keep reading to find out! This article will provide you with a voltage drop formula and a clear example of its application. Make sure to check out the Ohm's law calculator, too!

## What is the voltage drop?

By definition, the voltage drop is the reduction in the voltage, occurring when the electric current moves through passive elements of the circuit.

Let's consider a wire that connects a house to the local electricity supplier. At ideal conditions, electrical current flows unobstructed along the wire until it reaches the home. There, it is used to power up multiple devices. In reality, though, the current is obstructed by some kind of opposing pressure before it reaches the voltage regulating transformers. It means that some part of the voltage is lost when the current has to overcome this resistance. This loss is called voltage drop. The voltage regulation calculator can help you dig deeper into the topic of maintaining constant voltage output. Give it a try!

If you have trouble with understanding it, you can imagine a person running along a straight path. If the path is clear, without any obstacles, and appropriate pavement, the person will move fast and steady. On the other hand, if the road is difficult to run along, and stones are blocking the way, it is more likely that the person will lose a lot of her energy just trying to overcome all obstacles.

## What influences the magnitude of voltage drop?

In general, the voltage drop occurs when the current has to travel along a wire. In such a system, both components - the current and the wire - influence the voltage drop. In particular, it is possible to distinguish the following factors:

• Wire material. The application of better conductors will result in a lower voltage drop. For example, copper is a much better conductor than carbon steel; if you analyze the same current flowing through two identical wires, one made of copper and one made of steel, you will discover that the voltage drop is higher in the steel one.
• Wire size. The cross-sectional area of the wire has a large influence on the voltage drop. The thinner the wire, the higher the voltage drop will be.
• Wire length. Intuitively, a longer wire means a longer way for the current to travel, hence higher voltage losses. You should always try to minimize the length of a wire.
• Load current. The higher the current, the higher the voltage drop. You should also double-check whether your wires or components, such as LEDs, can withstand a large current.

## Voltage drop formula

The formula for voltage drop depends on the type of current.

• For DC or 1-phase AC:
$\quad V = 2 \frac{I L R}{A n}$
• For 3-phase AC:
$\quad V = \sqrt 3 \frac{I L R}{A n}$

where:

• $V$ - Voltage drop, measured in volts [V];
• $I$ - Load current, measured in amperes [A];
• $L$ - One-way length of the wire, measured in meters [m];
• $R$ - Resistivity of the wire, measured in ohm-meters [Ωm];
• $A$ - Cross-sectional area of the wire, measured in square millimeters [mm²]; and
• $n$ - Number of conductors in parallel. In case you need it, you can calculate their resistance with the parallel resistor calculator.

## How to calculate voltage drop

1. Begin with choosing your wire. Decide on its size, material, and length. Let's assume that you chose a copper 8 AWG wire that is 300 feet long.
2. Decide on the current - the magnitude and phases. Let's say you chose a 1.2 A, DC current.
3. Choose the initial voltage - for example, 220 V.
4. Input all of the values to the formula above the find the voltage drop - remember about the proper units! You can also input all of these values directly to our voltage drop calculator to receive the result of a drop equal to 0.451 V.
5. You can also calculate the voltage drop as a percentage. All you have to do is divide the voltage drop by the initial voltage: $0.451 \ \mathrm V / \ 220 \ \mathrm V = 0.205 \%$.
6. The voltage at the output is equal to the voltage drop subtracted from the initial voltage: $220 \ \mathrm V - 0.451 \ \mathrm V = 219.55 \ \mathrm V$.

## Voltage drop consequences

As a rule, the voltage drop should never exceed 3% of the initial voltage. A higher reduction may result in flickering of lights and overheating of devices (they will need to work harder than usual to produce the same effect).

If you are interested in electricity, make sure to take a look at our series resistor calculator as well!

Bogna Szyk
Phase
DC
Wire material
Copper
Wire size
Select...
AWG
Wire length
ft
Initial voltage
V
A
Voltage drop
V
Voltage drop
%
Voltage at the end
V
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