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In a uniform magnetic field, the magnetic force on a charged particle is maximum

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Question: In a uniform magnetic field, the magnetic force on a charged particle is maximum when the angle between the velocity and the magnetic field is:

Options:

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

Correct Answer: 90 degrees

Solution: 

The magnetic force is maximum when the angle between the velocity and the magnetic field is 90 degrees, as sin(90°) = 1.

In a uniform magnetic field, the magnetic force on a charged particle is maximum

Practice Questions

Q1
In a uniform magnetic field, the magnetic force on a charged particle is maximum when the angle between the velocity and the magnetic field is:
  1. 0 degrees
  2. 90 degrees
  3. 180 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

In a uniform magnetic field, the magnetic force on a charged particle is maximum when the angle between the velocity and the magnetic field is:
  • Step 1: Understand that a charged particle moving in a magnetic field experiences a force.
  • Step 2: Know that the strength of this force depends on the angle between the particle's velocity and the magnetic field.
  • Step 3: Remember the formula for magnetic force: F = q * v * B * sin(θ), where θ is the angle between velocity (v) and magnetic field (B).
  • Step 4: Recognize that sin(θ) reaches its maximum value of 1 when θ is 90 degrees.
  • Step 5: Conclude that the magnetic force on the charged particle is maximum when the angle between the velocity and the magnetic field is 90 degrees.
  • Magnetic Force on Charged Particles – The magnetic force experienced by a charged particle moving in a magnetic field is given by the equation F = qvBsin(θ), where θ is the angle between the velocity vector and the magnetic field vector.
  • Angle Dependency – The force is dependent on the sine of the angle between the velocity and the magnetic field, reaching its maximum value when θ = 90°.
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