A hollow cylindrical shell of radius a is centered on the z axis and carries a uniform surface current density of K a a (a) Show that H is not a function of or z (b) Show that H and H are everywhere zero (c) Show that H z 0 for a (d) Show that H z K a for a (e) A second shell, b, carries a current K b a Find H everywhere

Question: A hollow cylindrical shell of radius a is centered on the z axis and carries a uniform surface current density of K a a

A hollow cylindrical shell of radius a is centered on the z axis and carries a uniform surface current density of K_aa_φ.

(a) Show that H is not a function of ϕ or z.

(b) Show that H_ϕ and Hρ are everywhere zero.

(d) Show that H_z = K_a for ρ < a.

(e) A second shell, ρ = b, carries a current K_ba_ϕ. Find H everywhere.

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