Electric Currents & Ohm's Law - Units of Resistivity example 5
Question : A lead wire and an iron wire are connected in parallel. Their respective specific resistances are in the ratio 49 : 24. The former carries 80 percent more current than the latter and the latter is 47 percent longer than the former. Determine the ratio of their cross sectional areas.
Solution : Let suffix 1 represent lead and suffix 2 represent iron. We are given that
ρ1/ρ2 = 49/24; if i2 = 1, i1 = 1.8; if l1 = 1, l2 = 1.47
Now,
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