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 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 magnetic field is: (2021)
  • Step 1: Understand that a charged particle moving in a magnetic field experiences a force.
  • Step 2: Know the formula for the 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, 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 force depends on sin(θ).
  • Step 5: Remember that the maximum value of sin(θ) is 1.
  • Step 6: Determine when sin(θ = 1): This happens when θ = 90 degrees.
  • Step 7: Conclude that the force on the charged particle is maximum when the angle between the velocity and the magnetic field is 90 degrees.
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