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.
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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