A 220-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,180 A. If the conductor is copper with a free charge density of 8.5 x 1028 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? (Use 3.156 x 107 for the number of seconds in a year.) yr

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Chapter1: Units, Trigonometry. And Vectors
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A 220-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,180 A. If the conductor is copper with a free charge density of 8.5 x 1028 electrons per cubic meter, how many years does it take one electron to travel the full
length of the cable? (Use 3.156 × 107 for the number of seconds in a year.)
yr
Transcribed Image Text:A 220-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,180 A. If the conductor is copper with a free charge density of 8.5 x 1028 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? (Use 3.156 × 107 for the number of seconds in a year.) yr
Expert Solution
Step 1

Calculate the cross-sectional area of the cable.

A=π4d2A=π4(2 cm×1 m100 cm)2A=3.14×104 m2

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