Question

A uniform line charge extends from x = - 2.7 cm to x = + 2.7 cm and has a linear charge density of = 5.5 nC/m.

(a) Find the total charge.

.297 nC

Find the electric field on the y axis at the following distances.
(b) y = 4 cm

(c) y = 12 cm

(d) y = 4.5 m

(e) Find the field at y = 4.5 m, assuming the charge to be a point charge.

Answer 1

Posts: 288
Re: Uniform Line Charge Help
Use
E=?dE


where

dE=K?dxr2cos?


If you draw the configuration the distance r is from a charge element to a point on the y axis thus forming a right triangle. The horizontal components ofE will cancel (equal and opposite) so only the vertical component of E from each charge element will contribute. Express cosine theta in terms of x.


may this will help u