Electric field , due to an infinite line of change, as shown in figure at a point `P` at a distance `r` from the line is `E`. If wire is folded at point `A`, so that both parts lie alongside as shown in figure(b), then express electric field at `P` in vector form.

Options

A. `(E )/(2)hat(i)+(E )/(2)hat(j)`
B. `Ehat(i)+Ehat(j)`
C. `sqrt(2)Ehat(i)+sqrt(2)Ehat(j)`
D. `(E )/(sqrt(2))hat(i)+(E )/(sqrt(2))hat(j)`

Answer

b

Explanation

`E= (lambda)/(2pi epsilon_(0)r)`
`vec(E )_("new")= (2lambda)/(4pi epsilonr)hat(i)+(2 lambda)/(4pi epsilonr)hat(j)= Ehat(i)+Ehat(j)`