5) The electric potential of a solid insulating sphere of radius R with electric charge Q is described by the equations; V (r) : KQ for r> R, V(R) KQ for r= R, r and, V(r) : KQ 3 for r

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5) The electric potential of a solid insulating sphere of radius R with electric
charge Q is described by the equations;
V (r) :
KQ
for r> R, V(R)
KQ
for r= R,
r
and, V (r) =
KQ
for r<R
R2
2R
a.) Starting from these results, find the equations for the electric field of the
sphere for each case.
b.) If the sphere has a radius of 50.0 cm and carries a total charge of 25 uC, what
force will it exert on a 5 µC charge that is placed at a distance of 2.0 m from
the center of the sphere? Is this force directed towards or away from the
sphere?
c.) What is the electrical potential energy of the 5 µC charge?
Transcribed Image Text:5) The electric potential of a solid insulating sphere of radius R with electric charge Q is described by the equations; V (r) : KQ for r> R, V(R) KQ for r= R, r and, V (r) = KQ for r<R R2 2R a.) Starting from these results, find the equations for the electric field of the sphere for each case. b.) If the sphere has a radius of 50.0 cm and carries a total charge of 25 uC, what force will it exert on a 5 µC charge that is placed at a distance of 2.0 m from the center of the sphere? Is this force directed towards or away from the sphere? c.) What is the electrical potential energy of the 5 µC charge?
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