(i) Find the field intensity if potential `V = - k x y (k gt 0)`.
(ii) Draw the field pattern of the field in i.

Find the relation between intensity and the potential at a point in an electric field.

In electrostatics both the electric field intensity (E) and potential (V) are closely related. Show that the line integral of electric field along any closed path is zero.

Define gravitational field, field intensity and potential.

A chargo q is uniformly distributed on a ring-shaped conductor of radius a. Find the field potential in an arbitrary point on the conductor's axis a distance I away from the plane in which the conductor lies. Using the relation between the potential and the field intensity, find the field intensity at this point.

Find the relationship between the intensity and potential at a point in an electric field. What is meant by potential gradient of a field?

Show that the electric field intensity at a point in an electric field is equal to the negative of the potential gradient of the field at that point. E = -(dV)/(dr)

Deduce the relation between electric field intensity and potential at a point in an electric field.