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rts A and B pls 2. Inverted cone of charge (0,0,h) (R.0,0) P(0,0-h) (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on ry 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). Hint: Use the superposition principle by stacking thin rings of charge with varying radius along the z-direction to form an inverted cone. Note that the electric field from a ring of charge is derived from the question 1 above. You need to integrate each contribution from a charged ring to find the electric field. Note: You can use Wolfram Alpha to perform the integrals. Please indicate it in your solutions if you have used it. (b) Now find the electric fields at the point P and the origin O as R becomes infinite while h remains finite? Interpret the results from this limiting case in your own words.

rts A and B pls 2. Inverted cone of charge (0,0,h) (R.0,0) P(0,0-h) (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on ry 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). Hint: Use the superposition principle by stacking thin rings of charge with varying radius along the z-direction to form an inverted cone. Note that the electric field from a ring of charge is derived from the question 1 above. You need to integrate each contribution from a charged ring to find the electric field. Note: You can use Wolfram Alpha to perform the integrals. Please indicate it in your solutions if you have used it. (b) Now find the electric fields at the point P and the origin O as R becomes infinite while h remains finite? Interpret the results from this limiting case in your own words.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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rts A and B pls 2. Inverted cone of charge (0,0,h) (R.0,0) P(0,0,-h) (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on ry 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). Hint: Use the superposition principle by stacking thin rings of charge with varying radius along the z-direction to form an inverted cone. Note that the electric field from a ring of charge is derived from the question 1 above. You need to integrate each contribution from a charged ring to find the electric field. Note: You can use Wolfram Alpha to perform the integrals. Please indicate it in your solutions if you have used it. (b) Now find the electric fields at the point P and the origin O as R becomes infinite while h remains finite? Interpret the results from this limiting case in your own words.
Transcribed Image Text:rts A and B pls 2. Inverted cone of charge (0,0,h) (R.0,0) P(0,0,-h) (a) Consider an inverted cone with its altitude being h and its base having radius R which sits on ry 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). Hint: Use the superposition principle by stacking thin rings of charge with varying radius along the z-direction to form an inverted cone. Note that the electric field from a ring of charge is derived from the question 1 above. You need to integrate each contribution from a charged ring to find the electric field. Note: You can use Wolfram Alpha to perform the integrals. Please indicate it in your solutions if you have used it. (b) Now find the electric fields at the point P and the origin O as R becomes infinite while h remains finite? Interpret the results from this limiting case in your own words.
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