eolas/Electronics/Physics_of_electricity/Current.md

---
categories:
  - Electronics
tags: [physics, electricity]
---

# Current

> Electrical current is the movement of electrons from negatively charged atoms to negatively charged atoms when an appropriate external force is applied.

So current is the flow of electrons. Charge is the quantity that flows. 

> The amount of current is the sum of the charges of the moving electrons past a given point.

## Why current exists
Current exists because of the [first law of electrostatics](/Electronics/Physics_of_electricity/Coulombs_Law.md).

When there is an excess of electrons at one terminal (i.e. negatively charged atoms) and a deficiency of electrons at the other terminal (i.e. positively charged atoms), a _difference of potential_ exists between the two terminals.

When the terminals are connected to each other via a conductor (e.g. copper wire) electrons will flow along the conductor. This is provided that there is a source to supply electrons at one end and remove them at the other. We call this force the **voltage source**.

_The diagram below illustrates the flow of current where the circles are electrons knocking into each other and passing current:_

![](/img/charge-cylinder.svg)

> Electrons travel very slowly through a conductor. This is in contrast to their intrinsic motion which of course equal to the speed of light (186, 000 miles per second).

## Formal expression

We measure **charge** in Coulombs ($C$). A Coulomb is an aggregate of the charge of thousands of electrons because their individual charge is so small.
One Coulomb is equal to the charge of $6.24 \cdot 10 ^{18}$ electrons. 

We measure **current** in amps. When one coulomb of charge moves past a point in one second it is called an **ampere** (amp) represented as $A$. 

This relationship is captured in the following equation:

$$
I = \frac{Q}{t}
$$

* $I$ = current measured in amps
* $Q$ = quantity of electrical charge measured in coulombs
* $t$ = time

### Application
_Calculate the current in amps if 9 coulombs of charge flow past a point in an electric circuit in 3 seconds._

$$
I = \frac{9}{3} \\
I = 3  A
$$