(a) What will be the length of the wire? 1 m (b) What will be the diameter of th
ID: 1681882 • Letter: #
Question
(a) What will be the length of the wire?1 m
(b) What will be the diameter of the wire?
2 µm
Explanation / Answer
The density of copper d = 8.92 x 103kg/m3 We know that volume = m / d = 1.15 x 10-3 / 8.92 x 103 = 0.1289 x 10-6 m3 But volume = A * L ==> A * L = 0.1289 x 10-6m3 .......1 The resistance of the copper wire is R = L / A ==> A*L = L2 / R ............2 From eq 1 and 2 we have L2 / R = 0.1289 x 10-6 Therefore length of the wire is ==> L = [ R * 0.1289 x 10-6 / ] = [ 0.3 * 0.1289 x 10-6 / 1.69 x 10-8] = 1.512 m Area = r2= Volume / L = 0.1289 x 10-6 / 1.512 ==> r = 164.77 m Therefore diameter D = 2 r = 329.5 m
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