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2. Inverted cone of charge (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on zy plane as shown in the figure. This cone has a uniform surface charge o on the curved surface. Find the electric fields at the point P (0,0,-h) and the origin O (0,0,0).

2. Inverted cone of charge (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on zy plane as shown in the figure. This cone has a uniform surface charge o on the curved surface. Find the electric fields at the point P (0,0,-h) and the origin O (0,0,0).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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2. Inverted cone of charge (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on zy plane as shown in the figure. This cone has a uniform surface charge o on the curved surface. Find the electric fields at the point P (0,0, -) and the origin O (0,0,0). Hint: Use the superposition principle by stacking thin rings of charge with eurying rudius along the diretion to form an inverted cone. Note that the electric field from a ring of charge ie derived from the question I above. You need to integrate each contribution rom charged reig to find the electrie field. Note: You can e Wolfram Alpha to perform the integrals. Please indicate it in your solutions if you have used it. (b) Now find the electrie fielde at the point P and the origin O a R becomes infinite while A remalne finite? Interpret the realta frotm this limiting case in your own words
Transcribed Image Text:2. Inverted cone of charge (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on zy plane as shown in the figure. This cone has a uniform surface charge o on the curved surface. Find the electric fields at the point P (0,0, -) and the origin O (0,0,0). Hint: Use the superposition principle by stacking thin rings of charge with eurying rudius along the diretion to form an inverted cone. Note that the electric field from a ring of charge ie derived from the question I above. You need to integrate each contribution rom charged reig to find the electrie field. Note: You can e Wolfram Alpha to perform the integrals. Please indicate it in your solutions if you have used it. (b) Now find the electrie fielde at the point P and the origin O a R becomes infinite while A remalne finite? Interpret the realta frotm this limiting case in your own words
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