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The electric potential at a point (x,y) ...

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

A

`r^2`

B

r

C

`1//r`

D

`1//r^2`

Text Solution

Verified by Experts

The correct Answer is:
B
`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`
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