Potential created by a cone portion - electrostatic potential - Corrected exercises electromagnetism




Consider a portion of a cone ,of half-angle with the vertex a and  limit rays R1 and R2 (R1 <R2).
This system is loaded on the surface with non-uniform density:

a is a constant homogeneous to a length and r the radius of the cone at a point on its axis of symmetry.

Determine the electrostatic potential  at the vertex O of the cone.



Comments

Post a Comment

Popular posts from this blog

ELECTRICITY IN LOCOMOTION - BOOK

►Early Tramroads and Railways ►The Birth of Electric Traction   ►The Essential Advantages of Electric Traction on Tramways  ►The Mechanism of an Electric Tramcar: the Overhead System  ►Conduit and Surface-Contact Tramway Systems  ►The Backwardness of Electric Traction in Great Britain ►Electric Tramway Stagnation. The Trolley Omnibus   ►Regenerative Control  ►Accumulator Electric Traction. The Electric Automobile ►Petrol-Electric Vehicles and main Marine Propulsion by Electricity  ►The Pioneer Electric Railways ►Electric Railways from the Engineering Point of View  ►Electric Traction on Main Line Railways  ►Curiosities of Electric Traction  By ADAM GOWANS WHYTE, B.Sc.
Read more

TRADITIONAL INDUSTRIAL ARTS DESIGN - PRACTICAL METHODS FOR STUDENTS, TEACHERS, AND CRAFTSMEN - BY WILLIAM H. VARNUM 1916

Image
CONTENTS CHAPTER PAGE I. Divisions of Industrial Arts Design 7 II. The Primary Mass and Its Proportions 13 III. Horizontal Major Divisions of the Primary Mass 19 IV. Vertical Major Divisions of the Primary Mass 33 V. Appendages and the Rules Governing Them 43 VI. Enrichment of the Contours or Outlines of Designs in Wood 57 VII. Enrichment of the Contours or Outlines of Designs in Clay 77 VIII. Enrichment of the Contours or Outlines of Designs in Base and Precious Metals 87 IX. Surface Enrichment of Small Primary Masses in Wood 99 X. Surface Enrichment of Small Primary Masses in Wood. (Continued) 117 XI. Surface Enrichment with Minor Subdivisions of Lar...
Read more

Solution : Hydrogen atom - Corrected Exericises on Gauss - electromagnetism

Image
∎ Back to the exercise Hydrogen atom. 1. electrostatic field. As the vector electrostatic field is opposite the gradient of the potential V and it depends only on r (the distribution having spherically symmetrical) are obtained: 2. Feed field. The flow of the electrostatic field is defined by: As the field's radial component and constant over a sphere of radius r: The study gives limits: to r tends to 0 Φ = 0   for r approaching infinity. According to Gauss, a domestic load sphere of radius r expressed as: . We can therefore conclude that the total charge distribution is zero and that at point O we have a positive point charge q. 3. Volumetric charge density. The charge contained between the spheres with center O and radius r and r + d r is: Is then obtained: This charge density is negative and has a total charge...
Read more