The intensity of an electric field depends only on the coordinates x and y as follows,
`E = (a(xhati +y hatj))/(x^(2)+y^(2))` where, a is constant and `hati` and `hatj` are the unit vectors of the x and y axes. Find the charges within a sphere of radius R with the centre at the origin.

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 :

Find the potential varphi (x,y) of an electrostatic field E = 2axyi + a (x^(4) - y^(2)) j , where a is a constant, I and J are the unit vectors of the x and y axes.

The intensity of an electric field depends only on the co-ordinates x, y and z as follows: vecE=a((xhati+yhatj+zhatk))/((x^2+y^2+z^2)^(3//2)) unit. The electrostatic energy stored between two imaginary concentric spherical shells of radii R and 2R with centre at origin is

hati and hatj are unit vectors along x and y axis. What is the magnitude and direction of the vector hati + hatj ?

An electric field prevailing in a region depends only on x and y coordinates according to an equation vecE = b(xhati + yhatj)/(x^(2) + y^(2)) where & is a constant. Flux passing through a sphere of radius r whose centre is on the origin of the coordinate system is…………..

The work done by the force = vec F = A (y^(2) hati + 2 x^(2) hatj) , where A is a constant and x and y are in meters around the path shown is.