Physics

Physics

Problem

A copper transmission cable of length 500 m500\,\text{m} must carry a steady current of 50 A50\,\text{A} such that the power lost as heat does not exceed 1000 W1000\,\text{W}. The resistivity of copper is 1.7×10−8 Ω m1.7\times10^{-8}\,\Omega\,\text{m}. Determine the minimum cross-sectional area of the cable. a) 8.5×10−6 m28.5\times10^{-6}\,\text{m}^2 b) 2.1×10−5 m22.1\times10^{-5}\,\text{m}^2 c) 4.3×10−5 m24.3\times10^{-5}\,\text{m}^2 d) 1.7×10−4 m21.7\times10^{-4}\,\text{m}^2

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