The electric potential at a point `(x,y)` in the x-y plane is given by `V=-kxy`. The field intentisy at a distance r in this plane, from the origin is proportional to

Options

A. `r^2`
B. r
C. `1//r`
D. `1//r^2`

Answer

B

Explanation

`V=-kxy`
`implies vecE =-((delV)/(delx)hati+(delV)/(dely)hatjxx(delV)/(delz)hatk)`
`=-(-ky hati - kxhatj +0)`
`implies vecE = kyhati + kxhatj`
`implies |vecE| =ksqrt(x^2+y^2)=kx implies |vecE| prop r`