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A more elegant proof of the second uniqueness theorem uses
Chapter 3, Problem 6P(choose chapter or problem)
Problem 6P
A more elegant proof of the second uniqueness theorem uses Green’s identity (Prob. 1.61c), with T = U = V3. Supply the details.
Reference prob 1.61c
Although the gradient, divergence, and curl theorems are the fundamental integral theorems of vector calculus, it is possible to derive a number of corollaries from them. Show that:
Questions & Answers
QUESTION:
Problem 6P
A more elegant proof of the second uniqueness theorem uses Green’s identity (Prob. 1.61c), with T = U = V3. Supply the details.
Reference prob 1.61c
Although the gradient, divergence, and curl theorems are the fundamental integral theorems of vector calculus, it is possible to derive a number of corollaries from them. Show that:
ANSWER:
Step 1 of 2
We are required to use Green’s theorem to prove the second uniqueness theorem. Green’s theorem is given as,