An infinite line of charge with charge density λ1 = -2 μc/cm is aligned with the y-axis as shown. 1) what is ex(p), the value of the x-component of the electric field produced by

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aristocles aristocles · Answer 1 · 2019-02-02T02:29:47+01:00

As we know by Gauss's law that

[tex]\int E.dA = \frac{q}{\epsilon_0}[/tex]

so for line charge the gaussian surface is cylindrical in shape

so we will have

[tex]E(2\pi RL) = \frac{\lambda L}{\epsilon_0}[/tex]

now by rearranging the terms

[tex]E = \frac{\lambda}{2\pi \epsilon_0 R}[/tex]

so here we will have to find the x component of electric field so it is given by above equation

[tex]E_x = \frac{\lambda}{2\pi \epsilon_0 x}[/tex]

here x = distance from the wire where we need to find electric field