Solution Found!
Prove that the field is uniquely determined when the
Chapter 3, Problem 5P(choose chapter or problem)
Prove that the field is uniquely determined when the charge density \(\rho\) is given and either \(V\) or the normal derivative \(\partial V / \partial n\) is specified on each boundary surface. Do not assume the boundaries are conductors, or that \(V\) is constant over any given surface.
Questions & Answers
QUESTION:
Prove that the field is uniquely determined when the charge density \(\rho\) is given and either \(V\) or the normal derivative \(\partial V / \partial n\) is specified on each boundary surface. Do not assume the boundaries are conductors, or that \(V\) is constant over any given surface.
ANSWER:
Step 1 of 3
The unique determination of an electric field can be done from the second uniqueness theorem. We are required to know the total charge of each conductor if a given volume is surrounded by several conductors.