A uniformly charged rod of length L and total charge Q lies along the x axis as

Question

A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.)

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Ex = Ey = A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.) Find the components of the electric field at the point P on the y axis a distance d from the origin. What are the approximate values of the field components when d >> L? Explain why you would expect these results.

Explanation / Answer

a)

Ex = (-k lamda/d) (1 - sin(theta))

==> Ex = (-k Q/(d L)) (1 - d/sqrt(d^2+L^2))

Ey = (k lamda/d) (cos(theta))

==> Ey = (k Q/(d L)) (L/sqrt(d^2+L^2))

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