Let `E_1(r)`, `E_2(r)` and `E_3(r)` be the respectively electric field at a distance r from a point charge `Q`, an infinitely long wire with constant linear charge density `lambda`, and an infinite plane with uniform surface charge density `sigma`. If `E_1(r_0)=E_2(r_0)=E_3(r_0)` at a given distance `r_0`, then

Options

A. `Q=4 sigma pi r_(0)^(2)`
B. `r_(0)=lambda/(2pi sigma)`
C. `E_(1)(r_(0)//2)=2E_(2) (r_(0)//2)`
D. `E_(2) (r_(0)//2)=4E_(3) (r_(0)//2)`

Answer

C