The – data for a wire are as follows: At : and

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

The II–VV data for a wire are as follows: At 20∘C20^{\circ}\text{C}: (0.50 A,1.8 V)(0.50\,\text{A}, 1.8\,\text{V}) and (2.0 A,7.2 V)(2.0\,\text{A}, 7.2\,\text{V}). At 80∘C80^{\circ}\text{C}: (0.50 A,2.6 V)(0.50\,\text{A}, 2.6\,\text{V}) and (2.0 A,10.4 V)(2.0\,\text{A}, 10.4\,\text{V}). Assuming the wire obeys Ohm’s law at each temperature, what is the percentage increase in its resistance when the temperature rises from 20∘C20^{\circ}\text{C} to 80∘C80^{\circ}\text{C}? (a) 31 %31\,\% (b) 44 %44\,\% (c) 22 %22\,\% (d) 36 %36\,\%

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