A wire consists of a steel center, 1mm in diameter, and a copper sheathing that is 2 mm in diameter (with a 1 mm inner diameter where the copper is fused to the steel). What is the resistance of a 10 meter-long piece of this wire, and how much current and how much power is dissipated in this wire if attached across the terminals of a 12-volt battery? Hint: are the copper and steel components of the wire in series or in parallel with each other? The resistivity of copper is 1.68×10−8 Ω·m whereas that for steel is 6.90×10−8 Ω·m.
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