(Electrostatics) 31 Suppose that we have a point charge q at the origin, show that the flux of E through a sphere of radıusr is given by ŞE da = 9 32 Suppose there is a bunch of charges scattered about instead of a sıngle charge at the origın Apply the prınciple of superposition and (3 1) to show that the total field, for any closed surface, is Qene where Qenç IS the total charge enclosed withın the surface 33 Suppose the electric field in some region is found to be E = kr'i. in spherical coordinates (k is some constant) Find the charge density p

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Please help with 3.1 3.2 and 3.3.

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(Electrostatics)
31
Suppose that we have a point charge q at the origın, show that the flux of E
through a sphere of radiusr 1s gıven by
$E da =9
32
Suppose there is a bunch of charges scattered about instead of a sıngle charge at the
origin Apply the principle of superposition and (3 1) to show that the total field,
for any closed surface, is
E da =
Qenc
€0
where Qene I5 the total charge enclosed within the surface
33
Suppose the electric field in some region is found to be
E = kr'f,
in spherical coordınates (k is some constant) Find the charge density p
ull
08:59 PM
2021-09-14
Page: 1 of 1
Words: 0
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Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W % Cut A Find - Calibri (Body) - 11 - A A Aa AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace Paste I UTabe х, х* I Normal Change Styles B I No Spaci.. Heading 1 Heading 2 Title Subtitle A Select - Format Painter Clipboard Font Paragraph Styles Editing L |. 2.1' 1:LX: 1:'2.1 3.14: 1: 5.1 6 L:7:18:9.1 10. 1 11: 1 · 12: 1 13. 1 14: I 15·L : 17: 18. (Electrostatics) 31 Suppose that we have a point charge q at the origın, show that the flux of E through a sphere of radiusr 1s gıven by $E da =9 32 Suppose there is a bunch of charges scattered about instead of a sıngle charge at the origin Apply the principle of superposition and (3 1) to show that the total field, for any closed surface, is E da = Qenc €0 where Qene I5 the total charge enclosed within the surface 33 Suppose the electric field in some region is found to be E = kr'f, in spherical coordınates (k is some constant) Find the charge density p ull 08:59 PM 2021-09-14 Page: 1 of 1 Words: 0 国 昆言 100% - +
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Solution:

3.1 The electric flux through the sphere of radius r is calculated by 

Advanced Physics homework question answer, step 1, image 1

So we can show electric flux as

Advanced Physics homework question answer, step 1, image 2

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