Let B(x, z) be the magnetic field produced by a surface current density K(y, z) = K(z)

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Let B(x, z) be the magnetic field produced by a surface current density K(y, z) = K(z) ŷ confined to the x = x₀ plane.

(a) Show that the Biot-Savart law for this situation reduces to a one dimensional convolution integral for each component of B.
(b) Confine your attention to x < x₀and show that

(c) Why does the single component Bz(x, z) evaluated at one (arbitrary) value of x < x₀ provide enough information to determine j (z)?

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Mar 29, 2023 01:41 AM

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Let B(x, z) be the magnetic field produced by a surface current density K(y, z) = K(z)

Question:

μοΚ (2) - ² Ĵ az Ĵ dk dz' = 88 -∞ f dk exp{ik(zz) + k|(xox)} B₂(x, z).

Step by Step Answer:

a b Define the Fourier transform pairs c Br 440 Kx rr r r ...View the full answer

Modern Electrodynamics

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