4. (a) A thin nonconducting rod of finite length L has a charge q spread uniformly along it.Show that the magnitude of electric field at a point P on a perpendicular bisector of therod is given by1E =2nE,y (1² + 4y²)1/2y+L (b) Find the magnitude of electric field at point P at a distance x from the end. Expressthe magnitude of the field when x is very large compared to L and show that the rodlooks like a point charge.PL

Given Charge is distributed over the surfaces uniformly and we have to magnitude of electric filed…

4. (a) A thin nonconducting rod of finite length L has a charge q spread uniformly along it. Show that the magnitude of electric field at a point P on a perpendicular bisector of the rod is given by 1 •P E = 2nE,y (1? + 4y²)!/2 y L

4. (a) A thin nonconducting rod of finite length L has a charge q spread uniformly along it. Show that the magnitude of electric field at a point P on a perpendicular bisector of the rod is given by 1 •P E = 2nE,y (1? + 4y²)!/2 y L

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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.

Question

4. (a) A thin nonconducting rod of finite length L has a charge q spread uniformly along it.
Show that the magnitude of electric field at a point P on a perpendicular bisector of the
rod is given by
1
E =
2nE,y (1² + 4y²)1/2
y
+
L

(b) Find the magnitude of electric field at point P at a distance x from the end. Express
the magnitude of the field when x is very large compared to L and show that the rod
looks like a point charge.
P
L

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