Two semi-infinite filaments on the z axis lie in the regions to−∞ < z <−a and a < z < ∞ to. Each carries a current l in the az direction. (a) Calculate H as a function of ρ and ϕ at z = 0. (b) What value of a will cause the magnitude of H at ρ = 1, z = 0, to be one-half the value obtained for an infinite filament?
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