Suppose you have a circular cross sectional wire with radius R, a resistivity of ρ, and that is carrying a uniformly distributed current of I(t) = I0 cos(ωt) (notice it changes in time).
a) Find the electric field that is generating this current using the proper form of Ohm’s Law.
b) Find the magnetic field outside of the wire that is generated by the current and the time changing electric field combined.
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