Compute for the work done, in millijoules, in moving a 6-nC charge radially away from the center from a distance of 6 m to a distance of 12 m against the electric field inside a non-conducting spherical shell of inner radius 4 m, outer radius 18 m, and total charge 7 mC.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...
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Compute for the work done, in millijoules, in moving a 6-nC charge radially away from the center from a distance of 6 m to a distance of 12 m against the electric field inside a non-conducting spherical shell of inner radius 4 m, outer radius 18 m, and total charge 7 mC.

answer: -3.1893 mJ

Consider two concentric conducting spherical shells of negligible thickness separated by vacuum. One of the shells has a radius of 4 m, while the other has radius of 8 m. The total charge of one of the shells is 7 mC, while that of the other is 8 mC. Their respective total charges are distributed evenly on their surfaces. Determine the total potential energy, in nanojoules, stored between the two shells. Use the permittivity of free space as 8.854 × 10-12 F/m.

ans: -27.5250 

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