There is an infinite non conducting sheet of charge having uniform charge density `sigma`. The electric field at a point P at a distance x from the sheet is `E_(0)`. Point O is the foot of the perpendicular drawn from point P on the sheet. A circular portio of radius `r lt lt x ` centered at O is removed from the sheet. Now the field at point P becomes `E_(0)-DeltaE`. Find `DeltaE`.

Answer

`(sigma)/(4epsilon_(0))(r^(2))/(x^(2))`