Solution Found!
Solve Laplace’s equation by separation of variables in
Chapter 3, Problem 24P(choose chapter or problem)
Problem 24P
Solve Laplace’s equation by separation of variables in cylindrical coordinates, assuming there is no dependence on z (cylindrical symmetry). [Make sure you find all solutions to the radial equation; in particular, your result must accommodate the case of an infinite line charge, for which (of course) we already know the answer.]
Questions & Answers
QUESTION:
Problem 24P
Solve Laplace’s equation by separation of variables in cylindrical coordinates, assuming there is no dependence on z (cylindrical symmetry). [Make sure you find all solutions to the radial equation; in particular, your result must accommodate the case of an infinite line charge, for which (of course) we already know the answer.]
ANSWER:
Step 1 of 3
We are required to solve Laplace’s equation and find the solutions in the radial equations.