Explanation Given: Total positive charge is e . Distance of electron from the center of sphere is r . Radius of sphere is R . Calculation: Calculate the volume charge density on the sphere ( ρ v ) using the relation. p v = Q S p v = e 4 π R 3 3 = 3 e 4 π R 3 Calculate the charge density ( D ) using the relation. ∮ D ⋅ d S = ∫ ρ v d V D ( 4 π r 2 ) = ( 3 e 4 π R 3 ) ( 4 π r 3 3 ) D =

7th Edition

ISBN: 9780190698614

Author: Sadiku, Matthew N. O.

Publisher: Oxford University Press

See similar textbooks

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Videos

Question

Chapter 4, Problem 31P

To determine

To prove the expression: F=e2r4πε0R3.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 30P

Chapter 4, Problem 32P

Chapter 4 Solutions

Elements Of Electromagnetics

Ch. 4.2 - Prob. 1PE Ch. 4.2 - Prob. 2PE Ch. 4.2 - Prob. 3PE Ch. 4.3 - Prob. 4PE Ch. 4.3 - Prob. 5PE Ch. 4.3 - Prob. 6PE Ch. 4.4 - Prob. 7PE Ch. 4.6 - Prob. 8PE Ch. 4.6 - Prob. 9PE Ch. 4.7 - Prob. 10PE

Ch. 4.7 - Prob. 11PE Ch. 4.8 - Prob. 12PE Ch. 4.9 - Prob. 13PE Ch. 4.10 - Prob. 14PE Ch. 4.10 - Prob. 15PE Ch. 4 - Prob. 1RQ Ch. 4 - Prob. 2RQ Ch. 4 - Prob. 3RQ Ch. 4 - Prob. 4RQ Ch. 4 - Prob. 5RQ Ch. 4 - Prob. 6RQ Ch. 4 - Prob. 7RQ Ch. 4 - Prob. 8RQ Ch. 4 - Prob. 9RQ Ch. 4 - Prob. 10RQ Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - Prob. 3P Ch. 4 - Prob. 4P Ch. 4 - Prob. 5P Ch. 4 - Prob. 6P Ch. 4 - Prob. 7P Ch. 4 - Prob. 8P Ch. 4 - Prob. 9P Ch. 4 - Prob. 10P Ch. 4 - Prob. 11P Ch. 4 - Prob. 12P Ch. 4 - Prob. 13P Ch. 4 - Prob. 14P Ch. 4 - Prob. 15P Ch. 4 - Prob. 16P Ch. 4 - Prob. 17P Ch. 4 - Prob. 18P Ch. 4 - Prob. 19P Ch. 4 - Prob. 20P Ch. 4 - Prob. 21P Ch. 4 - Prob. 22P Ch. 4 - Prob. 23P Ch. 4 - Prob. 24P Ch. 4 - Prob. 25P Ch. 4 - Prob. 26P Ch. 4 - Prob. 27P Ch. 4 - Prob. 28P Ch. 4 - Prob. 29P Ch. 4 - Prob. 30P Ch. 4 - Prob. 31P Ch. 4 - Prob. 32P Ch. 4 - Prob. 33P Ch. 4 - Prob. 34P Ch. 4 - Prob. 35P Ch. 4 - Prob. 36P Ch. 4 - Prob. 37P Ch. 4 - Prob. 38P Ch. 4 - Prob. 39P Ch. 4 - Prob. 40P Ch. 4 - Prob. 41P Ch. 4 - Prob. 42P Ch. 4 - Prob. 43P Ch. 4 - Prob. 44P Ch. 4 - Prob. 45P Ch. 4 - Prob. 46P Ch. 4 - Prob. 47P Ch. 4 - Prob. 48P Ch. 4 - Prob. 49P Ch. 4 - Prob. 50P Ch. 4 - Prob. 51P Ch. 4 - Prob. 52P Ch. 4 - Prob. 53P Ch. 4 - Prob. 54P Ch. 4 - Prob. 55P Ch. 4 - Prob. 56P Ch. 4 - Prob. 57P Ch. 4 - Prob. 58P Ch. 4 - Prob. 59P Ch. 4 - Prob. 60P Ch. 4 - Prob. 61P Ch. 4 - Prob. 62P Ch. 4 - Prob. 63P Ch. 4 - Prob. 64P Ch. 4 - Prob. 65P Ch. 4 - Prob. 66P Ch. 4 - Prob. 67P Ch. 4 - Prob. 68P Ch. 4 - Prob. 69P

Knowledge Booster

Learn more about

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

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY