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)
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)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Answer letters c and d.
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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