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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
Along x - axis , `E_(x)=-(dv)/(dx)=+ky`
Along y - axis , `E_(y)=-(dv)/(dy)=+kx`
`rArrE^(2)=E_(x)^(2)+E_(y)^(2)=k^(2)y^(2)+k^(2)x^(2)+k^(2)x^(2)`
`=k^(2)(x^(2)+y^(2))=k^(2)r^(2)`
`rArrE=krrArrEpropr`.
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