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A particle with charge q moves with velocity v in a magnetic field B. What is th

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Question: A particle with charge q moves with velocity v in a magnetic field B. What is the expression for the magnetic force acting on the particle?

Options:

  1. F = qvB
  2. F = qvB sin(θ)
  3. F = qB
  4. F = qvB cos(θ)

Correct Answer: F = qvB sin(θ)

Solution:

The magnetic force acting on a charged particle moving in a magnetic field is given by F = qvB sin(θ), where θ is the angle between the velocity vector and the magnetic field vector.

A particle with charge q moves with velocity v in a magnetic field B. What is th

Practice Questions

Q1
A particle with charge q moves with velocity v in a magnetic field B. What is the expression for the magnetic force acting on the particle?
  1. F = qvB
  2. F = qvB sin(θ)
  3. F = qB
  4. F = qvB cos(θ)

Questions & Step-by-Step Solutions

A particle with charge q moves with velocity v in a magnetic field B. What is the expression for the magnetic force acting on the particle?
  • Step 1: Identify the charge of the particle, which is represented by 'q'.
  • Step 2: Identify the velocity of the particle, which is represented by 'v'.
  • Step 3: Identify the magnetic field strength, which is represented by 'B'.
  • Step 4: Determine the angle (θ) between the direction of the particle's velocity and the direction of the magnetic field.
  • Step 5: Use the formula F = qvB sin(θ) to calculate the magnetic force (F) acting on the particle.
  • Magnetic Force on a Charged Particle – The magnetic force experienced by a charged particle moving in a magnetic field is determined by the charge of the particle, its velocity, the strength of the magnetic field, and the angle between the velocity and the magnetic field.
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