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Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force Practice Questions

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16.4Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force

Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force Revision Questions

1) A single proton having a velocity of 2 × 105 m/s enters a 200mT uniform magnetic field at 300 to the field lines as shown in the figure.

Physics Tutorials: This image provides visual information for the physics tutorial Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force

What is the magnitude and direction of magnetic force produced on the proton? Take cos 30° = 0.866 and sin 30° = 0.500 if necessary. The magnitude of an elementary charge is 1.6 × 10-19 C.

  1. 3.2 × 10-15 N out of page
  2. 5.54 × 10-15 N out of page
  3. 3.2 × 10-15 N onto the page
  4. 5.54 × 10-15 N onto the page

Correct Answer: C

2) An object having a charge of + 6.4 × 10-17 C enters a 2μT magnetic field at 105 m/s as shown in the figure.

Physics Tutorials: This image provides visual information for the physics tutorial Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force

What is the radius of curvature of the charge's trajectory inside the magnetic field?

(Take mp = 1.67 × 10-27 kg, me = 9.1 × 10-31 kg and e = 1.6 × 10-19 C if necessary).

  1. 0.29 m
  2. 400 m
  3. 1.39 m
  4. 557 m

Correct Answer: D

3) What is the magnitude of the net force acting on a + 3μC charge when it enters at 2000 km/s inside normal to the frame obtained by a parallel plate capacitor and two bar magnets that produce a 5 mT magnetic field as shown in the figure? The capacitor plates are 2 cm apart and there is a potential difference of 100 V between them.

Physics Tutorials: This image provides visual information for the physics tutorial Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force
  1. 0.015 N
  2. 0.030 N
  3. 0.045 N
  4. 0.060 N

Correct Answer: C

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