Shown in the figure below is a hollow disk of charge. The disk carries a charge density ? and has an inner radius R1 and an outer radius R2. You are to calculate the magnitude of the field at the point P which is a distance z above the plane of the disk. Determine the area element, dA =        Determine the charge element, dQ =        Determine the distance, s =        Determine the so-called, cos(?) =        Determine the integrand, ∬        Determine the lower bound of the ? integral:        Determine the upper bound of the ? integral:        Determine the lower bound of the r integral:        Determine the upper bound of the r integral:        Determine the final result of the integration:        NOTE: Please use k in your answers. Please do not use ?0.

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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Shown in the figure below is a hollow disk of charge. The disk carries a charge density ? and has an inner radius R1 and an outer radius R2. You are to calculate the magnitude of the field at the point P which is a distance z above the plane of the disk.


Determine the area element, dA

 
 

 
Determine the charge element, dQ

 
 

 
Determine the distance, s

 
 

 
Determine the so-called, cos(?)

 
 

 
Determine the integrand, ∬ 

 
 
 


Determine the lower bound of the ? integral: 

 
 
 


Determine the upper bound of the ? integral: 

 
 
 


Determine the lower bound of the r integral: 

 
 
 


Determine the upper bound of the r integral: 

 
 
 


Determine the final result of the integration: 

 
 
 



NOTE:

  • Please use k in your answers.
  • Please do not use ?0.
R₂
dE
R₁
N
α
r
S
y
X
Transcribed Image Text:R₂ dE R₁ N α r S y X
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