(5) There exists a solid sphere with radius R and charge density -Po centered at the origin. There also exists an infinitely long thin cylindrical shell with radius a (where a < R) and oriented along the z-axis and surface charge density +No- (a) Use Gauss' law to find the electric field caused by only the sphere at the point (d, 0,0) where a < d < R. (d) Use Gauss' law to find the electric field caused by only the cylindrical shell at the point (d, 0,0) from part (a). (c) Is it possible for the electric field at (d,0,0) to be zero? If so, give an expression for no in terms of coordinates and given parameters. If it is not possible, explain why not.

University Physics Volume 2
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ISBN:9781938168161
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 25P: A square surface of area 2 cm2 is in a space of uniform electric field of magnitude 103 N/C . The...
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(5) There exists a solid sphere with radius R and charge density -po centered at the
origin. There also exists an infinitely long thin cylindrical shell with radius a (where a < R)
and oriented along the z-axis and surface charge density +70.
(a) Use Gauss' law to find the electric field caused by only the sphere at the point (d, 0,0)
where a < d < R.
(d) Use Gauss' law to find the electric field caused by only the cylindrical shell at the
point (d, 0,0) from part (a).
(c) Is it possible for the electric field at (d, 0,0) to be zero? If so, give an expression for
no in terms of coordinates and given parameters. If it is not possible, explain why not.
Transcribed Image Text:(5) There exists a solid sphere with radius R and charge density -po centered at the origin. There also exists an infinitely long thin cylindrical shell with radius a (where a < R) and oriented along the z-axis and surface charge density +70. (a) Use Gauss' law to find the electric field caused by only the sphere at the point (d, 0,0) where a < d < R. (d) Use Gauss' law to find the electric field caused by only the cylindrical shell at the point (d, 0,0) from part (a). (c) Is it possible for the electric field at (d, 0,0) to be zero? If so, give an expression for no in terms of coordinates and given parameters. If it is not possible, explain why not.
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