A charged particle moves in a magnetic field. What is the condition for the particle to experience no magnetic force?
Practice Questions
1 question
Q1
A charged particle moves in a magnetic field. What is the condition for the particle to experience no magnetic force?
The particle must be at rest
The particle must be moving parallel to the magnetic field
The particle must be moving perpendicular to the magnetic field
The magnetic field must be zero
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.
Questions & Step-by-step Solutions
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Q
Q: A charged particle moves in a magnetic field. What is the condition for the particle to experience no magnetic force?
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.
Steps: 5
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).
