longitudinally-uniform, and axially-symmetric2. The current distribution of an infinite,wire can be described in cylindrical coordinates byJ = J(p)ź.(a) Show that · ƒ = 0.(b) Considerations of longitudinal and axial symmetry require that the mag-netic field can only depend upon p, i.e. that=Ẻ(p) = B₂(p)ô+ Bø(p)❖ + B₂(p)ź.Use Ampère's Law to determine Bo(p) in terms of I(p) = 2π ff J(p') p'dp'.(c) Use the Biot and Savart Law to show that Bp(p) = B₂ (p) = 0. Side note:it is pretty easy to show that Bp(p) must be zero using Gauss's Law forB with a cylindrical volume. I am not aware of an "easy" way to seeB(p) 0 not that it is very difficult using the Biot and Savart Law...(d) Use the integral form for the vector potential [Jackson, Eq. (5.32)] todetermine A for this current distribution. Hint: in order to deal withdivergent integrals, you may want to limit the current distribution to-L≤ z

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Answered: 2. The current distribution of an…

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