The resistance of No.28 copper wire is 0.00213/cm. The resistivity of the cdomme

Question

The resistance of No.28 copper wire is 0.00213/cm. The resistivity of the cdommercial copper is1.72E-8 m. Find: a. the diameter of No.28 copper wire b. the heat power generated on a 12-m No.28 copper wire whenit is connected to a 1.5 V battery (Neglect the internal resistanceof the battery.). The resistance of No.28 copper wire is 0.00213/cm. The resistivity of the cdommercial copper is1.72E-8 m. Find: a. the diameter of No.28 copper wire b. the heat power generated on a 12-m No.28 copper wire whenit is connected to a 1.5 V battery (Neglect the internal resistanceof the battery.).

Explanation / Answer

This means that the resistance of 1 meter of this wireis 0.213 ohms . So...    R = L / r2      solve for r .    r = ( L / R)1/2 = (1.72 x 10-8 * 1.00 / * 0.213)1/2 =    1.6032 x10-4 m . So the diameter = 2r =   3.206 x 10-4m   =    0.3206 mm . Heat power = V2 / R = 1.52 / 0.213*12 =    0.880watts

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