Just as B = 0 allows us to express B as the curl of a
Question:
Just as ∆ ∙ B = 0 allows us to express B as the curl of a vector potential (B = ∆ x A), so ∆ ∙ A = 0 permits us to write A itself as the curl of a "higher" potential: A = ∆ x W. (And this hierarchy can be extended ad infinitum.)
(a) Find the general formula for W (as an integral over B), which holds when B → 0 at ∞.
(b) Determine W for the case of a uniform magnetic field B.
(c) Find W inside and outside an infinite solenoid.
Step by Step Answer:
Ho a V B 0 V x B J and V A 0 VX A B A S dT so V A 0 V x A B and V W 0 well choose it so V x W A W 1B ...View the full answer
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