The electric potential at a point (x,y,z) is given by `V=-s^(2)`

Options

A. `vecE=hati(2xy -z^(3))+hatj xy^(2)+hatk 3 z^(2)x `
B. `vecE=hati(2xy +z^(3))+hatj x^(2)+hatk 3 xz^(2) `
C. `vecE=hati 2xy + hatj (x^(2)+y^(2))+hatk(3xz-y^(2))`
D. `vecE=hatiz + hatj xyz+ hatkz^(2)`

Answer

B

Explanation

`V=-x^(2)y-xz^(3)+4`
`vecE=-V=-(hati(delta)/(deltax)+hatj(delta)/(deltay)+hatk(delta)/(deltaz)) (-x^(2)-xz^(3)+4)`
`=(2xy+z^(3))hati+x^(2)hatj + 3xz^(2) hatk`