Answered: The volume charge density of the long…

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)...

See similar textbooks

Related questions

Concept explainers

Question

The volume charge density of the long hollow cylinder, shown in the figure below, is rho= 4 ×10^−5 C/m^3 . Let a be the inner radius and b be the outer (total) radius. If a= 10 cm and b= 15 cm. Find the electric field at:

a) r=5 cm

b) r=12 cm

c) r=25 cm

Expert Solution

Step 1: Gauss Law for electrostatics in integral form is used to find the electric field at a point

Gauss Law for electrostatics in integral form is used to find the electric field at a point when the charge distribution is given.

$contour integral subscript S E with rightwards arrow on top times d s with rightwards arrow on top equals 1 over ϵ subscript 0 integral subscript V rho d tau equals 1 over ϵ subscript 0 q subscript e n end subscript equals 1 over ϵ subscript 0 rho V subscript e n end subscript$

where Ven is the volume enclosed by the gaussian surface

Form this formula, to find electric field at a point r, we use a gaussian surface(which is a cylinder in this case) of radius r and length L. The electric field is always constant at and perpendicular to gaussian surface so it is along ds. And integral over ds is total area of gaussian cylindrical surface which is $left parenthesis 2 cross times p i cross times r L right parenthesis$

$ー_pven$

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions