An insulator in the shape of a spherical shell is shown in cross-section above. The insulator is defined by an inner radius a = 4.0 cm and an outer radius b = 6.0 cm and carries a total charge of Q = + 9.0 μC (1 μC = 10-6 C). (You may assume that the charge is distributed uniformly throughout the volume of the insulator).
What is Ey, the y-component of the electric field at point P which is located at (x,y) = (0, -5.0 cm) as shown in the diagram?
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OpenStudy (anonymous):
Use Gauss' Law... find Q enclosed by (Vinside/Vtotal)Qtotal
|dw:1350273565266:dw|
OpenStudy (anonymous):
i got the row = 0.01415
OpenStudy (anonymous):
?
OpenStudy (anonymous):
row?
OpenStudy (anonymous):
density
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OpenStudy (anonymous):
rho.
could be... I didn't do it that way... you divided Q by (4pi/3 )*(.06^3 + .04^3 ) ?
OpenStudy (anonymous):
extra steps...
OpenStudy (anonymous):
ok so by your way how would i get Ey
OpenStudy (anonymous):
E*A = (Q/epsilon) *(5^3-4^3)/(6^3-4^3)
OpenStudy (anonymous):
where A is the area of a sphere radius .05 m
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OpenStudy (anonymous):
so divide the A to the right side
OpenStudy (anonymous):
yep
OpenStudy (anonymous):
ok let me try it
OpenStudy (anonymous):
kQ*.401 / .05^2
OpenStudy (anonymous):
so what is the final equation
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OpenStudy (anonymous):
kQ*.401 / .05^2
OpenStudy (anonymous):
-13E6 N/C j
OpenStudy (anonymous):
get it?
OpenStudy (anonymous):
thank you so much
OpenStudy (anonymous):
No problem. Thanks for the medal.
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