Assume that (r) and G(r) both go to zero faster than 1 r as r (a) Let F and G 0 Show that d 3 r F G 0 (b) Let F and G 0 Show that d 3 r F G 0 (c) Begin with the vector with components j (P j G) and prove that dr drrv V V dr r(V P) dS( P)r S...

a By direction substitution The last integral is zero with the stated conditio ...

Assume that (r) and |G(r)| both go to zero faster than 1/r as r . (a) Let

Question:

Assume that ϕ(r) and |G(r)| both go to zero faster than 1/r as r →∞.

(a) Let F = ∇ϕ and ∇ · G = 0. Show that ∫ d³r F · G = 0.

(b) Let F = ∇ϕ and∇ ×G = 0. Show that ∫ d³r F × G = 0.

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Feb 02, 2023 01:17 AM

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Assume that (r) and |G(r)| both go to zero faster than 1/r as r . (a) Let

Question:

[d³r² = - [d³rrv. V V d³r r(V. P) +dS(-· P)r. S

Step by Step Answer:

a By direction substitution The last integral is zero with the stated conditio...View the full answer

Modern Electrodynamics

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