Textbook Question
Imagine that a steady current I flows in a straight cylindrical wire of radius R₀ and resistivity ρ.
(a) If the current is then changed at a rate dI/dt, show that a displacement current ID exists in the wire of magnitude ε₀ρ(dI/dt).
(b) If the current in a copper wire is changed at the rate of 1.0 A/ms, determine the magnitude of ID.
(c) Determine the magnitude of the magnetic field BD created by ID at the surface of a copper wire with R₀ = 1.00 mm. Compare (as a ratio) BD with the field created at the surface of the wire by a steady current of 1.0 A.
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