A defroster is a system that removes accumulated ice or moisture from the windshield of motor vehicles. It consists of a number of horizontal conductor lines that are connected to the electrical system of the vehicle. When current flows through these lines, the temperature will increase. A defroster of a car consists of thirteen identical thin parallel wires with resistivity of 88.0 × 10-8 Ω m are embedded in a glass. These wires of length 1.30 m each are connected to a 12.0 V battery. It can melt 2.10 × 10-2 kg of ice at 0 °C into water at 0 °C in 2 minutes. Assume that all the power delivered to the wires is used immediately to melt the ice. Find the radius of each wire.
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