A positive point charge `50mu C` is located in the plane xy at a point with radius vector `vecr_(0)=2hat(i)+3hat(j)`. The electric field vector `vec(E )` at a point with radius vector `vec(r )=8 hat(i)-5 hat(j)`, where `r_(0)` and r are expressed in meter, is

Options

A. `1200 V//m`
B. `0.04 V//m`
C. `900 V//m`
D. `4500 V//m`

Answer

D

Explanation

`E=(KQ)/r^(2) hat(r)=(9xx10^(9)xx50xx10^(-6))/(100)xx((6hat(i)-8hat(j))/(10))`
`=4500 V//m`.