A 5 cm long fuse wire of resistivity must melt when the current through it exceeds 3 A

PHYSICS · Subjective · CBSE · Physics · Electricity · Electricity

Problem

A 5 cm long fuse wire of resistivity 1.6×10−6 Ω m1.6\times10^{-6}\,\Omega\,\text{m} must melt when the current through it exceeds 3 A. The wire melts when the power developed per centimetre reaches 0.9 W cm−10.9\,\text{W cm}^{-1}. Calculate the maximum diameter of the wire that can be used for this fuse.

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