A total charge q is distributed uniformly over the surface of a spherical insulator of radius R. The sphere is then made to rotate about an axis passing through its center with a constant angular frequency w. a) Determine the surface charge density o and the surface current density K on the surface of the sphere. b) Calculate the electric field inside and outside the sphere. c) Calculate the magnetic moment ī of the system.
A total charge q is distributed uniformly over the surface of a spherical insulator of radius R. The sphere is then made to rotate about an axis passing through its center with a constant angular frequency w. a) Determine the surface charge density o and the surface current density K on the surface of the sphere. b) Calculate the electric field inside and outside the sphere. c) Calculate the magnetic moment ī of the system.
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Transcribed Image Text:A total charge q is distributed uniformly over the surface of a spherical insulator of radius
R. The sphere is then made to rotate about an axis passing through its center with a
constant angular frequency w.
a) Determine the surface charge density o and the surface current density K on the
surface of the sphere.
b) Calculate the electric field inside and outside the sphere.
c) Calculate the magnetic moment ī of the system.
d) Determine the exact expressions of magnetic field inside and outside the sphere.
dw
dt
e) Now, suppose the angular frequency w changes in time at a rate a (i.e.,
is the induced electric field on the surface of the sphere at an angle 0?
= a) What
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