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A charged particle moves in a magnetic field. What is the condition for the part

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Question: A charged particle moves in a magnetic field. What is the condition for the particle to experience no magnetic force?

Options:

  1. The particle must be at rest
  2. The particle must be moving parallel to the magnetic field
  3. The particle must be moving perpendicular to the magnetic field
  4. The magnetic field must be zero

Correct Answer: The particle must be moving parallel to the magnetic field

Solution: 

The magnetic force on a charged particle is given by F = q(v × B). If the velocity vector v is parallel to the magnetic field B, the cross product is zero, resulting in no magnetic force.

A charged particle moves in a magnetic field. What is the condition for the part

Practice Questions

Q1
A charged particle moves in a magnetic field. What is the condition for the particle to experience no magnetic force?
  1. The particle must be at rest
  2. The particle must be moving parallel to the magnetic field
  3. The particle must be moving perpendicular to the magnetic field
  4. The magnetic field must be zero

Questions & Step-by-Step Solutions

A charged particle moves in a magnetic field. What is the condition for the particle to experience no magnetic force?
  • Step 1: Understand that a charged particle can experience a magnetic force when it moves in a magnetic field.
  • Step 2: Know the formula for magnetic force: F = q(v × B), where F is the force, q is the charge, v is the velocity of the particle, and B is the magnetic field.
  • Step 3: Recognize that the '×' symbol represents the cross product, which means we are looking for a specific relationship between the velocity vector (v) and the magnetic field vector (B).
  • Step 4: Realize that the cross product is zero when the two vectors (v and B) are parallel to each other.
  • Step 5: Conclude that for the charged particle to experience no magnetic force, its velocity (v) must be parallel to the magnetic field (B).
  • Magnetic Force on Charged Particles – The magnetic force on a charged particle is determined by the equation F = q(v × B), where F is the force, q is the charge, v is the velocity, and B is the magnetic field. The force is zero when the velocity is parallel to the magnetic field.
  • Cross Product – The cross product of two vectors is zero when the vectors are parallel or anti-parallel, which is crucial for understanding when a charged particle does not experience a magnetic force.
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