relationship between electric field and electric potential difference
Answers
see the attachment file given.....hope it will help you
To derive :-
Relationship between Electric Field and Electric Potential .
Proof:-
First of all , let's consider a charge q located at a specified point and emitting electric field . We shall also consider 2 closely located points named as A and B.
The distance between A and B be dx.
Since the dx distance is extremely small, we can consider that the Electric field E (from the charge) remains same at both the points.
Now the work done to move a unit positive charge from A to B will be :
The negative sign denoted that the work done was against the Electric Field Direction.
For a unit positive charge , we know that work done us equal to the potential difference dV.
So we can say that Electric Field is the gradient of Electric Potential with respect to distance.