Question

Weite down the relaction
between electric field
and electric potential at a point
​

Answer 1

Answer:

The relationship between potential and field (E) is a differential: electric field is the gradient of potential (V) in the x direction. This can be represented as: Ex=−dVdx E x = − dV dx . Thus, as the test charge is moved in the x direction, the rate of the its change in potential is the value of the electric field.

Answer 2

Answer:

The electric field exists if and only if there is a electric potential difference. If the charge is uniform at all points, however high the electric potential is, there will not be any electric field. Thus, the relation between electric field and electric potential can be generally expressed as – “Electric field is the negative space derivative of electric potential.”

Electric Field And Electric Potential

The relation between Electric field and electric potential is mathematically given by-

E=−dVdx

Where,

E is the Electric field.

V is the electric potential.

dx is the path length.

– Sign is the electric gradient