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Asked Dec 18, 2019
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3. The figure shows a ball of radius R centered about the origin and an
infinite plane in the y-z plane. The ball has a constant charge density of
P and the plane's constant surface charge density is o. Determine the
electric field at x on the x axis (inside the ball).
with
R
Eo
Gausi Law
....
E=S,IV&P -S, da
EP-S,4ñr Jr
1.
volume=
dr=_4ür
Aven: 2Y r
da= 4Ñ r
integual furm
use Gaurs Lav
2 R
drdedo
Quuride
Eo
f i È -
dà
dr dy do
for sphere
for
plene
165845R EuS
D.
add t
0
->
help_outline

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3. The figure shows a ball of radius R centered about the origin and an infinite plane in the y-z plane. The ball has a constant charge density of P and the plane's constant surface charge density is o. Determine the electric field at x on the x axis (inside the ball). with R Eo Gausi Law .... E=S,IV&P -S, da EP-S,4ñr Jr 1. volume= dr=_4ür Aven: 2Y r da= 4Ñ r integual furm use Gaurs Lav 2 R drdedo Quuride Eo f i È - dà dr dy do for sphere for plene 165845R EuS D. add t 0 ->

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Expert Answer

Step 1
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The electric field îndiole a Aphere of uniform Ccherge is radially outward but the Aphesfcal Goussion susface would enclose less then the total Chorge, and Charge dentity ůn ļ, Charge inside gaussian surface Q' = s(¥*2?) Chere, xis the Jadios of gaussian Surface intide the sphere of cenitorm Chorge.

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Using the Gauss's law The electoical flux in then gired by Ø = G4A(n²) = %3D = 3(#**3) E, = El4an?) (1) bu

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For the plane Swfate chorge den dily of plane isr Ufing the Gaussian surface around the plane area A. Ep Az Ep Ep Charge intide gaussian susface %3D

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Electric Charges and Fields

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