1. Upload
Log In
Sign Up
Search books, presentations, business, academics
Explore
Documents
School WorkHealth & MedicineBrochures/CatalogsMagazines/NewspapersHow-To Guides/ManualsRecipes/MenusBooks - FictionBooks - Non-
fictionGovernment Docs+ all categories
RecentFeatured
People
AuthorsStudentsResearchersPublishersGovernment & NonprofitsBusinessesMusiciansArtists & DesignersTeachers+ all categories
Most FollowedPopular
×
Language:
English
Chapter 7
2.
3. 1
CHAPTER 7 DRILLS
D7.1
(a) V |P (1,2,3) =
4(2)(3)
(1)2
+1 = 12 V
As, ρv = −∇2
V, so we first calculate ∇2
V :
∇V = −8
yzx
(x2
+1)2
+
4z
x2
+1 +
4y
x2
+1
⇒ ∇2
V = 32 yzx2
(x2
+1)3 −8 yz
(x2
+1)2
⇒ ∇2
V |P (1,2,3) = 12;
so, ρv = −∇2
V = −o(12) = −106.25pC
m3
(b) V
|
P (3, π
3
,2) =
−
22.5 V
As, ρv = −∇2
V, so we first calculate ∇2
V :
∇2
V = 20 cos (2φ) −20 cos(2 φ)
⇒ ∇2
V |P (3, π
3
,2) = 0;
so, ρv = −∇2
V = −o(0) = 0 pC
m3
Solved by Zaeem Ahm ad Vara ich
Com piled by www.EngineersTeam.tk
4. (c) V |P (0.5,45o
,60o
) = 4 V
As, ρv = −∇2
V, so we first calculate ∇2
V :
∇2
V = 4 cos(φ)
r4 −2 cos(φ)
r4
(sin(θ))2
⇒ ∇2
V |P (0.5,45o
,60o
) = 0;
so, ρv = −∇2
V = −o(0) = 0 pC
m3
D7.2
Apply the formulae & concepts to find the answers!
www.engineersteam.tk
Compiled by www.EngineersTeam.tk
2
D7.3
(a) The solution to Laplace’s equation 1
ρ
∂
∂ρ
ρ ∂
∂ρ
= 0 is:
V = A ln ρ + B
Putting the given values of V & ρ and solving the simultaneous equations, we get:
A = −73.9 & B = 101.28
so, V = −73.9 ln ρ + 101.28
1 1
Compiled by www.EngineersTeam.tk
5. Link
3 of 4
Now, E = −∇V = ρ
(73.9) aρ = √
10
(73.9) aρ = 23.36aφ
(
∵
ρ =
√
3
2
+ 1
2
)
so, |E| = 23.36 V
m
(b) The solution to Laplace’s equation 1
ρ2
∂2
V
∂φ2 = 0 is:
V = Aφ + B
Putting the given values of V & φ and solving the simultaneous equations, we get:
A = −85.9 & B = 64.9
so, V = −85.9φ + 64.9
Now, E = −∇V = 1
ρ
(85.9) aφ = 1√
10
(85.9) aφ = 27.16 aφ
(∵ ρ = √32 + 12)
so, |E| = 27.16 V
m
D7.4 & D7.5
Not included in the course!
www.engineersteam.tk
Compiled by www.EngineersTeam.tk
6. 3
D7.6
The solution to this problem depends on how you proceed in each iteration and on your initial estimate.
The dotted lines show how the initial estimate was found.
(a) 20.8 V
(b) 44.47 V
(c) 89.8 V
Compiled by www.EngineersTeam.tk
Search This Document
Search
Search History:
Searching...
Result 00 of 00
00 results for result for
p.
7. Www.engineersTeam.tk-chapter 7-Engineering Electromagnetics by
William Hyatt 7th-Edition-DRILL PROBLEMS SOLUTION-
Www.engineersTeam.tk
Add To Collection
86
Reads
0
Readcasts
0
Embed Views
This is a private document.
Published by
www.engineersteam.tk
Compiled by www.EngineersTeam.tk
8. EngineersTeam
Follow
Search This Document
Search
TIP Press Ctrl-F⌘F to search anywhere in the document.
Info and Rating
Category: Uncategorized.
Rating: Not available for private documents
Upload Date: 01/08/2013
Copyright: Traditional Copyright: All rights reserved
Tags: This document has no tags.
Read online for free.
Flag document for inapproriate content
More From This User
9. 8 p.
Calculus Thomas Finney Solution
EngineersTeam
120 Reads
1 p.
Engineering Electromagnetics by William Hyatt-7th Edition-DRILL PRO...
EngineersTeam
13000 Reads
10. 17 p.
Math Shortcuts
EngineersTeam
171 Reads
108 p.
Solution Manual for Data Communications and Networking by Behrouz F...
EngineersTeam
113 Reads
Next
Featured
11. 12 p.
Recipes of Momofuku Milk Bar
TheRecipeClub
69 p.
sparkle + blink 3.3
quietlightning
12. 23 p.
Sneak Peek: Queen's Gambit
Simon and Schuster
51 p.
Becoming Reinaldo Arenas
Duke University Press
Next
About
About Scribd
