Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the elect field is Ē(r) = kr-¹/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density. b) Determine the electric field, E(r), for r > R (outside the sphere). :) What is the potential difference between the center of the sphere (r = 0) and the surface of the sp (r = R)? 1) What is the energy stored in this electric charge configuration?
Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the elect field is Ē(r) = kr-¹/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density. b) Determine the electric field, E(r), for r > R (outside the sphere). :) What is the potential difference between the center of the sphere (r = 0) and the surface of the sp (r = R)? 1) What is the energy stored in this electric charge configuration?
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Transcribed Image Text:Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric
field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere.
a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p.
b) Determine the electric field, E(r), for r > R (outside the sphere).
c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere
(r = R)?
d) What is the energy stored in this electric charge configuration?
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