Find users

Infinitesimal Charge Elements - Physics for Scientist and Engineers - Solved Past Paper

Exams, Engineering Physics

Post: February 12th, 2013
Description
This is the Solved Past Paper of Physics for Scientist and Engineers which includes Ideal Gas of Diatomic Molecules, Avogadro Number, Boltzmann Constant, Universal Gas Constant, Thermal Linear Expansion etc. Key important points are: Infinitesimal Charge Elements, Effective Spherical Symmetry, Cylindrical Coordinate, Effective Resistance, Ohm Law, Total Power, Vector Direction
This is the Solved Past Paper of Physics for Scientist and Engineers which includes Ideal Gas of Diatomic Molecules, Avogadro Number, Boltzmann Constant, Universal Gas Constant, Thermal Linear Expansion etc. Key important points are: Infinitesimal Charge Elements, Effective Spherical Symmetry, Cylindrical Coordinate, Effective Resistance, Ohm Law, Total Power, Vector Direction
-
Embed this document

Report Report

Reason:

Send Message

Login or register to download this document!

If you are already registered, login otherwise Register , it just takes 1 minute!

Uploaded by:

sashie

sashie
Universityuni_5documents_40doc_answ
Embed this document
Get the App
Contents
Problem 1 solution 1 1.1 Part a solution The easiest way to calculate the potential is to take advantage of the effective spherical symmetry of infinitesimal charge elements − l r E · dl = − kdq Q ∞ =− kdq ˆ r 2 l Qr kdq dr · ˆ r = 2 r Qr dl · The apparent cylindrical symmetry of the problem encourages cylindrical coordinates, in which the charge element is dq = σρdρdθ, and r = ρ2 + a2 a 2π k 0 dρ 0 1 2 2 σρdρdθ ρ2 + z2 z 2 +a2 =k πσdu 1 = 2πσku 2 |z 2 +a = 2πkσ z = The u substitution being u = z 2 + a2 =⇒ du = zdz σ k 2 u2 √ z 2 + a2 − z 2 z2 z 2 + a2 − z 1.2 rubric 3 points for recognizing cylindrical symmetry. 3 points for distinguishing r from ρ(!!), writing r correctly, writing dq correctly, and setting up the integral 2 for calculating correctly and reporting the potential as a scalar 2 part b ∂V ˆ z ∂z ˆ z E = − V . Since there is only z dependence E=− = σ 2 z 1− √ z 2 + a2 2.1 rubric 4 points fo..

Docsity.com

Learning becomes social!

Authentication required

This feature is reserved for registered user

Register Login

Docsity.com

Learning becomes social!

Authentication required

Hi!
In order to freely download all the documents on Docsity, please register or login:

Register Login