Answered: 5) The electric potential of a solid…

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

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Electric Potential

Section: Chapter Questions

Problem 25.41P: The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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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