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The force on a charged particle moving in a magnetic field is maximum when the a

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Question: The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)

Options:

  1. 0 degrees
  2. 90 degrees
  3. 180 degrees
  4. 45 degrees

Correct Answer: 90 degrees

Exam Year: 2021

Solution: 

The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is 90 degrees.

The force on a charged particle moving in a magnetic field is maximum when the a

Practice Questions

Q1
The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)
  1. 0 degrees
  2. 90 degrees
  3. 180 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)
  • Step 1: Understand that a charged particle can experience a force when it moves through a magnetic field.
  • Step 2: Know that the force on the charged particle depends on the angle between its velocity and the direction of the magnetic field.
  • Step 3: Remember that the force is calculated using the formula F = q(v × B), where F is the force, q is the charge, v is the velocity, and B is the magnetic field.
  • Step 4: Realize that the force is maximum when the sine of the angle between the velocity and the magnetic field is maximum.
  • Step 5: The sine of an angle is maximum at 90 degrees, which means the angle between the velocity and the magnetic field should be 90 degrees for maximum force.
  • Magnetic Force on Charged Particles – The force experienced by a charged particle moving in a magnetic field is given by the equation F = q(v × B), where F is the force, q is the charge, v is the velocity vector, and B is the magnetic field vector. The magnitude of the force is maximized when the angle between the velocity and the magnetic field is 90 degrees.
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