2. An insulating sphere of radius R, centered at the origin, carries charge density R p(r,0) = k (R-2r)sin 0, where k is a constant and r and 0 are spherical coordinates. (a) Calculate the total charge (i) within a sphere having radius r (r < R) and (ii) contained in the whole sphere of radius R
2. An insulating sphere of radius R, centered at the origin, carries charge density R p(r,0) = k (R-2r)sin 0, where k is a constant and r and 0 are spherical coordinates. (a) Calculate the total charge (i) within a sphere having radius r (r < R) and (ii) contained in the whole sphere of radius R
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter15: Electric Forces And Fields
Section: Chapter Questions
Problem 50P: A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate...
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![2. An insulating sphere of radius R, centered at the origin, carries charge density
R
p(r,0) = k(R– 2r) sin 0 , where k is a constant and r and 0 are spherical coordinates.
(a) Calculate the total charge (i) within a sphere having radius r (r < R) and
(ii) contained in the whole sphere of radius R
(b) Determine dipole contribution to the given charge distribution p(r,0) at a distance r,
when r » R.
[8]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c41ecdc-f272-440b-b225-2945e00238dd%2F5c04ffc0-b562-4ab9-99d7-cb31f9bf92a4%2Fagtqjy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. An insulating sphere of radius R, centered at the origin, carries charge density
R
p(r,0) = k(R– 2r) sin 0 , where k is a constant and r and 0 are spherical coordinates.
(a) Calculate the total charge (i) within a sphere having radius r (r < R) and
(ii) contained in the whole sphere of radius R
(b) Determine dipole contribution to the given charge distribution p(r,0) at a distance r,
when r » R.
[8]
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