Potential of two concentric spheres
Not what you're looking for?
Two concentric spheres have radii a, b (b>a) and each is divided into two hemispheres by the same horizontal plane. The upper hemisphere of the inner sphere and the lower hemisphere of the outer sphere are maintained at potential V. The other hemispheres are at zero potential.
Determine the potential in the region a<=r<=b as a series in Legendre polynomials. Including terms at least up to l=4. Check your solution against known results in the limiting cases b--> infinity, and a--> 0.
Purchase this Solution
Solution Summary
The solution shows in detail how to obtain the Legendre polynomial expansion of two concentric spheres, their opposite halves are held at constant potential and the other half is grounded.
Solution Preview
Hello and thank you for posting your question to Brainmass.
The ...
Purchase this Solution
Free BrainMass Quizzes
Basic Physics
This quiz will test your knowledge about basic Physics.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
The Moon
Test your knowledge of moon phases and movement.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.