A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m. What is the x component of the electric field at y = 2 m on the y axis?

The x component of the electric field at y=2m is

Explanation:

For a linear charge, using Gauss Law, we get that the Electric field (radial) has the following form

where λ is the charge for longitud unit given in the problem, r is replaced by the y coordinate, and there are two known more data. So

is the x component of the Electric field at y=2m on the y axis, which is what we wanted to know.

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