2. A spherical capacitor consists of an inner solid conducting sphere of radius a surroundedby a spherical conducting shell of inner radius b and outerradius e. The capacitor is charged with-Q on the inner sphereand +Q on the outer spherical shell.a) Derive expressions for the electric field everywhere in spacedue to this charge configuration. indicating both direction andmagnitude, in terms of the distance r from the center. Graphthe electric field magnitude as a function of r.Q -Qb) What is the surface charge density on the outer surface of theinner sphere and on the inner surface of the outer sphere?c) In part d) you will calculate the potential difference AV between the inner and outerconductors. Before you calculate the value, indicate what the sign (positive or negative)of AV-Vb- Va must be and give a clear explanation as to why.d) Determine the potential difference AV=Vb - V, between the inner and outer conductors.e) From the result in d), determine the capacitance of this device and the energy stored in it.

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Answered: Determine the potential difference…

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Determine the potential difference AV=Vb- V, between the inner and outer conductors.

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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.

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2. A spherical capacitor consists of an inner solid conducting sphere of radius a surrounded
by a spherical conducting shell of inner radius b and outer
radius e. The capacitor is charged with-Q on the inner sphere
and +Q on the outer spherical shell.
a) Derive expressions for the electric field everywhere in space
due to this charge configuration. indicating both direction and
magnitude, in terms of the distance r from the center. Graph
the electric field magnitude as a function of r.
Q -Q
b) What is the surface charge density on the outer surface of the
inner sphere and on the inner surface of the outer sphere?
c) In part d) you will calculate the potential difference AV between the inner and outer
conductors. Before you calculate the value, indicate what the sign (positive or negative)
of AV-Vb- Va must be and give a clear explanation as to why.
d) Determine the potential difference AV=Vb - V, between the inner and outer conductors.
e) From the result in d), determine the capacitance of this device and the energy stored in it.

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