The cylindrical shell of length L = 1m and radius R = 2m is placed on the x-axis. Its its principal axis is coincident with the x-axis and its left surface is L away from the origin. The charge Q distributed on the surface of the shell is not homogeneous and changes according to the relation o = 2x. Where x is the distance from the origin along the x-axis. Due to charge Q on the cylindrical shell find the electric potential at the origin in terms of Eo.

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 24P
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+++++f
++
++
L
++
R
+1
++.
++ +++
The cylindrical shell of length L = 1m and radius R = 2m is placed on the x-axis.
Its its principal axis is coincident with the x-axis and its left surface is L away from
the origin. The charge Q distributed on the surface of the shell is not homogeneous
and changes according to the relation o = 2x. Where x is the distance from the
origin along the x-axis. Due to charge Q on the cylindrical shell find the electric
potential at the origin in terms of Eo.
a)(V5 – v2)
b) - (V17 – V5)
c) (V5 – v2)
(2v2 – V5)
(V13 – V10)
! + +
+ + + +
+ + 1 + +
+ + + ! + +
+ + + ! + +
+ + + + +
+ + + 1 + +
+
+ +! + +
+ + + + +
+ + +
Transcribed Image Text:+++++f ++ ++ L ++ R +1 ++. ++ +++ The cylindrical shell of length L = 1m and radius R = 2m is placed on the x-axis. Its its principal axis is coincident with the x-axis and its left surface is L away from the origin. The charge Q distributed on the surface of the shell is not homogeneous and changes according to the relation o = 2x. Where x is the distance from the origin along the x-axis. Due to charge Q on the cylindrical shell find the electric potential at the origin in terms of Eo. a)(V5 – v2) b) - (V17 – V5) c) (V5 – v2) (2v2 – V5) (V13 – V10) ! + + + + + + + + 1 + + + + + ! + + + + + ! + + + + + + + + + + 1 + + + + +! + + + + + + + + + +
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