a 0+ b

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Chapter1: Introduction
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Constants and conversion
qe = 1.60x10-¹⁹ C
factors that may be useful:
me=9.11x10-³¹ kg mp = 1.67x10-27 kg
Surface area of a sphere = 4TR²
Volume of a sphere = (4/3) лR³
Eo = 8.85x10-12 C²/N-m²
Transcribed Image Text:Constants and conversion qe = 1.60x10-¹⁹ C factors that may be useful: me=9.11x10-³¹ kg mp = 1.67x10-27 kg Surface area of a sphere = 4TR² Volume of a sphere = (4/3) лR³ Eo = 8.85x10-12 C²/N-m²
3.
A solid insulating sphere of radius a is concentric
with a thin spherical conducting shell of radius b. The inner
sphere has a total charge +Q distributed uniformly throughout
its volume and the outer shell has a total charge -Q.
A.
What is the volume charge density on the inner
insulating sphere? Express your answer in terms of Q and a.
B.
What is the surface charge density on the outer
conducting shell? Express your answer in terms of Q and b.
+0
b
C.
What is the electric field (magnitude and direction) a distance r from the center of
the spheres when r <a? Express your answer in terms of some or all of the variables Q, r, a, b,
and any necessary constants.
D.
What is the electric field (magnitude and direction) a distance r from the center of
the spheres in the region a <r<b?
E.
What is the electric field (magnitude and direction) a distance r from the center of
the spheres in the region r > b?
Transcribed Image Text:3. A solid insulating sphere of radius a is concentric with a thin spherical conducting shell of radius b. The inner sphere has a total charge +Q distributed uniformly throughout its volume and the outer shell has a total charge -Q. A. What is the volume charge density on the inner insulating sphere? Express your answer in terms of Q and a. B. What is the surface charge density on the outer conducting shell? Express your answer in terms of Q and b. +0 b C. What is the electric field (magnitude and direction) a distance r from the center of the spheres when r <a? Express your answer in terms of some or all of the variables Q, r, a, b, and any necessary constants. D. What is the electric field (magnitude and direction) a distance r from the center of the spheres in the region a <r<b? E. What is the electric field (magnitude and direction) a distance r from the center of the spheres in the region r > b?
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