Question: Let B(x, z) be the magnetic field produced by a surface current density K(y, z) = K(z) y confined to the x = x 0

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 0 and show that

(2) - az dk dz' = 88 - f dk exp{ik(zz) +

(c) Why does the single component Bz(x, z) evaluated at one (arbitrary) value of x 0 provide enough information to determine j (z)?

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

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