(a) Find the potentials and the fields produced by a current I (t) = I 0 (t) that turns on abruptly at t = 0

(a) Find the potentials and the fields produced by a current I (t) = I₀ Θ(t) that turns on abruptly at t = 0 in a neutral, filamentary wire coincident with the entire z-axis.
(b) Show that the electric and magnetic fields approach their expected values as t →∞.

I(t) 0 R. Z