Determine the potential `phi (x,y,z)` of an electrostatic field `vec(E) = ay hati + (ax + bz) hatj + by hatk`, where a and b are constants, `hati, hatj` are the unit vectors of the axes x,y,z. `[-y(ax +bz)+` constant]

Determine the potentail varphi(x,y,z) of an electrostatic field E = ayl + (ax + bz) J + byk , where a and b are constants, I, j, k are the unit vectors of the axes x,y,z .

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.

Find the potential V of an electrostatic field vec E = a(y hat i + x hat j) , where a is a constant.

Find the potential phi of an electric field given by vecE=a(y hati+x hatj) where a is a constant .

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(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 :

If two vectors are given as veca = hati - hatj + 2hatk and vecb = hati + 2hatj+hatk , the unit vector perpendicular to both vec a and vec b is

Let V_(0) be the potential at the origin in an electric field vecE=E_(x)hati+E_(y)hatj . The potential at the point (x,y) is

If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z hati+x hatj+y hatk , then veca xx (vecb xx vec c) is :

Determine the vector which when added to the resultant of vec(A) =2hati - 4hatj - 6hatk and vec(B) = 4hati +3hatj + 3hatk gives the unit vector along z-axis.