Question

A high-voltage transmission line of diameter 0.03 m and length 1,597 m carries a steady current of 1000 A. If the conductor is copper with a free charge density of $8 \times 10^{28}$ electrons/m$^3$, how long does it take one electron to travel the full length of the cable? ($e = 1.6 \times 10^{-19}$ C) [Give your answer in days and round it to the nearest whole number.]

          A high-voltage transmission line of diameter 0.03 m and length 1,597 m carries a steady current of 1000 A. If the conductor is copper with a free charge density of $8 \times 10^{28}$ electrons/m$^3$, how long does it take one electron to travel the full length of the cable? ($e = 1.6 \times 10^{-19}$ C)

[Give your answer in days and round it to the nearest whole number.]

A high-voltage transmission line of diameter 0.03 m and length 1,597 m carries a steady current of 1000 A. If the conductor is copper with a free charge density of 8 × 10^28 electrons/m^3, how long does it take one electron to travel the full length of the cable? (e = 1.6 × 10^-19 C)

[Give your answer in days and round it to the nearest whole number.]

Added by Aaron M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Arjun Choudhary

12/30/2021

Step 1

To calculate the total number of electrons, we need to multiply the free charge density by the volume of the conductor. The volume of the conductor can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the Show more…

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A high-voltage transmission line of diameter 0.03 m and length 1.597 m carries a steady current of 1000 A. If the conductor is copper with a free charge density of 8 x 10^28 electrons/m, how long does it take one electron to travel the full length of the cable? e = 1.6 x 10^-19 C [Give your answer in days and round it to the nearest whole number]