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# A copper wire has diameter 0.5mm and resistivity of 1.6*10(to the power -8) ohm m.what will be the length of this wire to make its resistance 10 ohm?how much does the resistance change if the diameter is doubled?

Asked by vaishakhautade25 10th June 2017, 2:52 PM
Answered by Expert
Answer:

From the expression of resistance, it is clear that it is inversely proportional to the square of diameter.
Hence, if the diameter is doubled, resistance becomes 0ne-fourth. In the above example the resistance
would become 10/4= 2.5 Ω
Answered by Expert 11th June 2017, 2:25 PM
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