a) A rod of length 2L with uniform charge density λ is oriented along the z-axis, centered at z = 0. Find the electric field at any point on the xy plane a distance r from the rod. (Note that the figure corresponds to part c only). (b) Use your result from the previous part to show that the electric field a distance r from an infinite rod is 2λ 4πǫ0r . (c) Suppose a section with length 2L is cut out of the infinite rod. Let the center of the cut out section correspond to z = 0 as shown. Find the E-field a distance r from the z-axis in the x-y plane.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.