2R X= X x> h 1. The uniformly charged cone with radius R and height h containing total charge Q is shown in the diagram. (a) Consider the disk (marked in blue) containing infinitesimal charge dq. State the radius of the disk as a function of x' ( plus other givens like R, h, etc). (b) What is the volume of the disk? (c) What is the volume charge density, p, of the disk ( and of the entire cone)? (d) What is the electric field at P due to the disk. Answer should be in terms of x', x, (plus other givens)

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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Answer letters c and d.

2R
X= x,
dx'
1. The uniformly charged cone with radius R and height h containing total charge Q is shown
in the diagram.
(a) Consider the disk (marked in blue) containing infinitesimal charge dq. State the radius of
the disk as a function of x' ( plus other givens like R, h, etc).
(b) What is the volume of the disk?
(c) What is the volume charge density, p, of the disk ( and of the entire cone)?
(d) What is the electric field at P due to the disk. Answer should be in terms of x', xo (plus
other givens)
(e) Sum up all the contributions from all such disks to find the total electric field at P due to
the entire cone?
Transcribed Image Text:2R X= x, dx' 1. The uniformly charged cone with radius R and height h containing total charge Q is shown in the diagram. (a) Consider the disk (marked in blue) containing infinitesimal charge dq. State the radius of the disk as a function of x' ( plus other givens like R, h, etc). (b) What is the volume of the disk? (c) What is the volume charge density, p, of the disk ( and of the entire cone)? (d) What is the electric field at P due to the disk. Answer should be in terms of x', xo (plus other givens) (e) Sum up all the contributions from all such disks to find the total electric field at P due to the entire cone?
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