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# ELECTRIC FIELD AND FORCE MECHANISM

When we are talking about electricity, it means that we are talking about moving charges. We know that electric current is generated when a electric charges moves, and the production of electric current on a large scale called electricity.
Electric Charges are the basic units of electricity and magnetism. We know that like charges repel but unlike charges attract each other. This repulsion and attraction is a kind of force, which is exerted by the electric Charges. And the first mathematical calculations of this electrostatic force is done by the French physicist Charles Augustin de coulomb in 1785. And then after this electrostatic force is named as Coulomb’s Law in the honour of this physicist.
But the question is – How does charges exert electrical force on the other charges?

If we want to understand the force mechanism of Charges, then we have to think from the root level. So come on, and let’s start thinking from scratch…

## MECHANISM OF FORCE EXERTION

Charge can’t exist without mass, means mass is necessary for existence of charge. Every charge particle create a three dimensionally spherical region around them in which if any other charge particle came then it experiences a electrostatic force. It means this electrostatic force is acting on the other charge particle because of that three dimensionally region. But what is that three dimensionally region?. This three dimensionally region is called the electric field. And the strength of this electric field region start decreasing as we go away from the charge. So every charge particle has own three dimensionally spherical coverage area in which is any charge particle enter then it start exerting force.
When we bring two charges close to each other then their electric field region start interacting with each other and this interaction exert force.

## ELECTRIC FIELD INTENSITY

Electric field intensity is the mathematical calculations of strength of the electric field. It is defined as – force (F) experienced by the unit positive charge (q0) in any electric field (E).
Mathematically, it is given as –
E = F/q0
The strength of the electric field intensity decrease with 1/r² as we go away from the source point charge. It means value of electric field is different for the different positions of test charges.
Electric field intensity is a vector quantity and it’s SI unit is NC-¹.
For positive charges the electric field vector is radially outward. i.e away from the source charge. And for the negative charges the electric field vector is radially inward, i.e towards the negative source charge.
As you can see in the following figure.

## ELECTRIC FIELD DUE TO A POINT CHARGE

In this section we will find the electric field between the two charge system.
Let’s take a charge (q) as a source charge and take a charge (q0) as a test charge, both are separated by the distance r.
As you can see.
According to the Coulomb’s Law, both charges are exerting force to each other and the magnitude of the force is given by –
F = q.q0/4πε0.r²      …….        (1)
And from the equation of electric field intensity, we know that –
E = F/q0.       ……….           (2)
Put the value of force in equation (2), we get –
E =  q.q0/4πε0.q0.r²     ……..      (3)
Or                  E = q/4πε0.r²          ……….      (4)
This is the required value of electric field at distance r from the source charge q.
Watch this video for more reference