Coulomb's law ( Electrostatics )

Statement: 
    "   This law states that the force of attraction or repulsion between two point charges is directly proportional to the product of the magnitude of the two charges and inversely proportional to the square of the distance between them " 

Explanation: 

Consider two point charges ' q1 ' and ' q2 ' placed at a distance ' r ' from each other, as shown in the figure.
Let ' F' represents the coulomb's force b/w these two charges, then


    
                

Combining relation (1) & (2) we get 

                
                

In this equation ' k ' is constant and is known as coulomb's constant. Its value depends upon the nature of the medium b/w the charges.
For air the value of ' k ' is given by,
                 


Here 'ε. ' is known as the  permitivity of air or free space.
For the above equations coulomb's force can be written as, 

                                      
This equation represents the coulomb's law for air  or free space.
In the medium b/w the two charges is other than sir, then we put (ε Îµ.) in the above equation so we get 
                 
This represents the coulomb's force for a medium other than air.

Vector Form of coulomb's Law




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