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Lesson: Explaining the Hall Effect

Sample Question Videos

Worksheet • 9 Questions • 1 Video

Q1:

A strip of copper with a cross-sectional area of 4 . 6 Γ— 1 0 βˆ’ 6 m2 is placed in a uniform magnetic field of magnitude 3.11 T. The Hall electric field is measured to be 2 . 5 Γ— 1 0 βˆ’ 3 V/ms. In modeling the characteristics of the current in the strip, use a value of 𝑛 = 9 . 2 Γ— 1 0 2 8 electrons/m3 for copper.

What is the drift speed of the conduction electrons?

  • A 8 . 0 Γ— 1 0 βˆ’ 4 m/s
  • B 3 . 3 Γ— 1 0 βˆ’ 4 m/s
  • C 9 . 2 Γ— 1 0 βˆ’ 4 m/s
  • D 5 . 5 Γ— 1 0 βˆ’ 4 m/s
  • E 0 . 2 Γ— 1 0 βˆ’ 4 m/s

What is the current in the strip?

What is the Hall coefficient of the strip?

  • A 6 . 8 Γ— 1 0 βˆ’ 1 1 Cβˆ’1
  • B 7 . 6 Γ— 1 0 βˆ’ 1 1 Cβˆ’1
  • C 1 . 3 Γ— 1 0 βˆ’ 1 1 Cβˆ’1
  • D 4 . 2 Γ— 1 0 βˆ’ 1 1 Cβˆ’1
  • E 8 . 5 Γ— 1 0 βˆ’ 1 1 Cβˆ’1

Q2:

The density of charge carriers for copper is 8 . 7 4 Γ— 1 0 2 8 electrons per cubic meter. A probe made of a copper plate of length 3.0 cm, width 2.0 cm, and thickness 1.0 cm is placed in magnetic field of 2.5 T, aligned perpendicular to the length-width plane. If a current of 1.5 A is passed through the probe, what Hall voltage value does it measure?

  • A 4 . 7 Γ— 1 0 βˆ’ 7 V
  • B 8 . 5 Γ— 1 0 βˆ’ 7 V
  • C 3 . 0 Γ— 1 0 βˆ’ 7 V
  • D 7 . 6 Γ— 1 0 βˆ’ 7 V
  • E 6 . 0 Γ— 1 0 βˆ’ 7 V

Q3:

A velocity selector in a mass spectrometer uses a magnetic field of magnitude 0.127 T. The velocity selector selects a speed of 4 . 6 Γ— 1 0 6 m/s.

What is the required electric field magnitude?

  • A 5 . 8 Γ— 1 0 5 V/m
  • B 6 . 2 Γ— 1 0 5 V/m
  • C 8 . 4 Γ— 1 0 5 V/m
  • D 8 . 2 Γ— 1 0 5 V/m
  • E 3 . 3 Γ— 1 0 5 V/m

What is the potential difference across the selector’s plates if they are separated by a distance of 1.33 cm?

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