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Solve the following problem:
Problem: A student attempts to "levitate" a piece of current-carrying wire using the Earth's magnetic field (55 T). She uses 12.0 cm of 20 gauge metric wire (d = 2.0 mm). This sample has a mass of 3.0 grams and a resistance of 0.66.
Part a) In order to pull this off, the magnetic force on the wire must point up. How should she orient the wire, and in which compass direction should the current flow?
Part b) How much current must run through the wire so that the magnetic force balances the weight of the wire?
Part c) Calculate the rate of heat production in the wire (that is, the resistive power). Is this project feasible?
Explain process and each step in detail.
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