(a) Suppose the wire in Ex. 10.2 carries a linearly increasing current I ( t...

(a) Suppose the wire in Ex. 10.2 carries a linearly increasing current

I ( t ) = kt,

for t > 0. Find the electric and magnetic fields generated.

(b) Do the same for the case of a sudden burst of current:

I ( t ) = q₀δ(t).

Reference example 10.2

An infinite straight wire carries the current

That is, a constant current I₀ is turned on abruptly at t = 0. Find the resulting electric and magnetic fields.