Determine the electric field strength vector if the potential of this field depends upon x - and y - coordinates as :
(i) `V = a(x^2 - y^2)`
(ii) `V = a x y`.

Determine the electric field strength vector if the potential of this field depends on X, coordinates as V = 10 axy

Determine the electric field strength vector in a region if in space the potential of this field depends on x and y coordinates as V=a(x^(2)-y^(2)) .

Determine the electric field strength vector if the potential of this field depends on x, coordinates as (a) V = a (x^2 — y^2) (b) V = axy where, a is a constant.

Determine the electric field strength vector if the potential of this field depends on x, coordinates as (a) V = a (x^2 — y^2) (b) V = axy where, a is a constant.

In a certain region of space, the potential field depends on x and y-coordinates as V=(-x^2+y^2) . The corresponding electric field lines in xy-plane are correctly represented by

The electric field strength depends only on the x and y coordinates according to the law E = a (x i + yj) (x^(2) + y^(2)) , where a is a constant , i and j are the unit vectors of the x and y axes. Find the flux of the vector E through a sphere of raidus R with its centre at the origin of coordinates.

The electric field strength depends only on the x and y coordinates according to the law E = (a(xhati+ y hatj))/(x^(2) + y^(2)) , where a is a constant hati and hatj are unit vectors of the x and y axes . Find the potential difference between x = 1 and x = 5 :