Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Start Practicing

Worksheet: Electron Drift Velocity

Q1:

A 10-gauge copper wire has a cross-sectional area of 5.26 mm2. The wire carries a current of 5.00 A. One mole of copper contains 6 . 0 2 × 1 0 2 3 atoms has a mass of 63.50 g. What is the magnitude of the drift velocity of the electrons, assuming that each copper atom contributes one free electron to the current? Use a value of 89.5 g/cm2 for the density of copper.

  • A 7 . 1 0 × 1 0 5 m/s
  • B 7 . 0 7 × 1 0 5 m/s
  • C 7 . 1 7 × 1 0 5 m/s
  • D 7 . 0 0 × 1 0 5 m/s
  • E 7 . 7 0 × 1 0 5 m/s

Q2:

An aluminum wire and a copper wire, both 2.000 mm in radius, carry currents of 5.00 A. In modeling the flow of charge through these wires, use a value of 8.96 g/cm3 for the density of copper, 2.70 g/cm3 for the density of aluminum, 26.98 g/mol for the molar mass of aluminum, and 63.5 g/mol for the molar mass of copper. Assume each atom of the metals contributes one free electron to the currents in them.

What is the absolute value of the charge density in the wire?

  • A 9 . 6 5 × 1 0 2 8 electrons/m3
  • B 1 . 4 2 × 1 0 2 8 electrons/m3
  • C 7 . 2 0 × 1 0 2 8 electrons/m3
  • D 6 . 0 2 × 1 0 2 8 electrons/m3
  • E 6 . 0 2 × 1 0 2 8 electrons/m3

What is the drift velocity of the electrons?

  • A 4 . 1 3 × 1 0 5 m/s
  • B 2 . 1 8 × 1 0 5 m/s
  • C 2 . 0 5 × 1 0 4 m/s
  • D 5 . 1 2 × 1 0 4 m/s
  • E 2 . 9 3 × 1 0 5 m/s

What would the drift velocity be if the same gauge copper was used instead of aluminum?

  • A 9 . 3 6 × 1 0 5 m/s
  • B 1 . 2 2 × 1 0 5 m/s
  • C 2 . 9 3 × 1 0 5 m/s
  • D 6 . 8 1 × 1 0 5 m/s
  • E 5 . 4 9 × 1 0 5 m/s

Q3:

In a current-carrying copper wire with cross section 𝜎 = 4 . 0 m m 2 , the drift velocity is 0.040 cm/s. Find the total current running through the wire. Use a value of 8 . 4 9 × 1 0 2 8 m−3 for the number density of copper.