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 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 (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

An electric field vec E=(25hat i+30hat j)NC^(-1) exists in a region of space.If the potential at the origin is taken to be zero then the potential at x =2 m y =2 m is :?

An electric field vec E=(25hat i+30hat j)NC^(-1) exists in a region of space.If the potential at the origin is taken to be zero then the potential at x=2m y=2m is : (A) -110V (B) -140V (D) -120V -130V

A graph of the x-component of the electric field as a function of x in a region of space is shown in figure. The y- and z-components of the electric field are zero in this region. If the electric potential is 10 V at the origin, then the potential at x = 2.0 m is

Which of these is/are representing electrostatic field? ( x and y are space coordinates)

Electric field function in a region of space is given as → E = y i + x j. The shape of equipotential surface is