Gauss\'s law applied to spherical conducting shells... The figure shows a spheri
ID: 1262490 • Letter: G
Question
Gauss's law applied to spherical conducting shells...
The figure shows a spherical conducting shell, inner radius a, and outer radius b, with a point charge +Q inside. In case (1) the point charge is at the center of the shell, and in case (2) it is off-center. In each case, describe the electric field in the three regions, r < a, a < r < b, and r > b.
Gauss's law applied to spherical conducting shells... The figure shows a spherical conducting shell, inner radius a, and outer radius b, with a point charge +Q inside. In case (1) the point charge is at the center of the shell, and in case (2) it is off-center. In each case, describe the electric field in the three regions, rExplanation / Answer
For CASE 1:
r < a:
E = kQ/r^2
a < r < b:
E = 0 inside the conductor.
r > b:
E = kQ/r^2
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For CASE 2:
Due to lack of symmetry here, we can only describe.
r < a:
There is nonzero electric field here as we can do a Gaussian surface enclosing the point charge.
a < r < b:
There is 0 magnetic field here, as it is inside a conductor.
r > b:
There is non zero electric field here as we can do a Gaussian surface enclosing the point charge.
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