The potential field depends on the x - and y - coordinates as `V = x^2 - y^2`. The corresponding electric field lines in x y plane are as.

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

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 upon x - and y - coordinates as : (i) V = a(x^2 - y^2) (ii) V = a x y .

The potential in an electric field varles as v= (x^(2) -y^(2)) . The electric lines of the force in x-y plane are

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.

The electric potential at any point x,y an z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

The electric potential at any point x,y and z in metres is given by V = 3x^(2) . The electric field at a point (2,0,1) is

Gravitational potential in x-y plan varies with x and y coordinates as V = x^(2)y+2xy Find gravitational field strength E .