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If the magnetic field strength is doubled, what happens to the magnetic force on

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Question: If the magnetic field strength is doubled, what happens to the magnetic force on a charged particle moving perpendicular to the field?

Options:

  1. Doubles
  2. Halves
  3. Remains the same
  4. Quadruples

Correct Answer: Doubles

Solution: 

The magnetic force on a charged particle is given by F = qvB sin(θ). If the magnetic field strength B is doubled, the force F also doubles, assuming charge q and velocity v remain constant.

If the magnetic field strength is doubled, what happens to the magnetic force on

Practice Questions

Q1
If the magnetic field strength is doubled, what happens to the magnetic force on a charged particle moving perpendicular to the field?
  1. Doubles
  2. Halves
  3. Remains the same
  4. Quadruples

Questions & Step-by-Step Solutions

If the magnetic field strength is doubled, what happens to the magnetic force on a charged particle moving perpendicular to the field?
  • Step 1: Understand the formula for magnetic force, which is F = qvB sin(θ).
  • Step 2: Identify the variables in the formula: F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
  • Step 3: Note that in this case, the particle is moving perpendicular to the magnetic field, so θ = 90 degrees.
  • Step 4: Since sin(90 degrees) = 1, the formula simplifies to F = qvB.
  • Step 5: If the magnetic field strength B is doubled, we replace B with 2B in the formula: F = qv(2B).
  • Step 6: This means the new force F' = qv(2B) = 2(qvB), which shows that the force F' is double the original force F.
  • Step 7: Therefore, if the magnetic field strength is doubled, the magnetic force on the charged particle also doubles.
  • Magnetic Force on Charged Particles – The magnetic force acting on a charged particle moving in a magnetic field is directly proportional to the magnetic field strength, the charge of the particle, and its velocity, particularly when the motion is perpendicular to the field.
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