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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 maximum force?

Options:

  1. Velocity is zero
  2. Velocity is parallel to the field
  3. Velocity is perpendicular to the field
  4. Charge is zero

Correct Answer: Velocity is perpendicular to the field

Solution: 

The magnetic force on a charged particle is given by F = qvB sin(θ). The force is maximum when the angle θ is 90 degrees, meaning the velocity is perpendicular to the magnetic field.

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 maximum force?
  1. Velocity is zero
  2. Velocity is parallel to the field
  3. Velocity is perpendicular to the field
  4. Charge is zero

Questions & Step-by-Step Solutions

A charged particle moves in a magnetic field. What is the condition for the particle to experience maximum force?
  • Step 1: Understand that a charged particle can be affected by a magnetic field.
  • Step 2: Know the formula for the magnetic force on a charged particle: F = qvB sin(θ).
  • Step 3: Identify the variables in the formula: F is the force, q is the charge of the particle, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
  • Step 4: Recognize that the sine function (sin) reaches its maximum value of 1 when the angle θ is 90 degrees.
  • Step 5: Conclude that for the force to be maximum, the velocity of the particle must be perpendicular to the magnetic field.
  • Magnetic Force on Charged Particles – The magnetic force experienced by a charged particle is dependent on the charge (q), velocity (v), magnetic field strength (B), and the angle (θ) between the velocity and the magnetic field.
  • Angle of Interaction – The angle θ plays a crucial role in determining the magnitude of the magnetic force, with maximum force occurring at θ = 90 degrees.
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