Gradient and Laplace of the function in spherical and Cartesian coordinates.

Question

Calculate the work required to assemble a uniform charge Q on a thin spherical shell of radiusR. Start with no charge and add infinitesimal charges dq until the total charge reaches Q, assuming thecharge is always evenly distributed over the shell’s surface. Show all steps.

Answer 1

Question

Chapter 1.4, Problem 1.41P

To determine

Gradient and Laplace of the function in spherical and Cartesian coordinates.

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