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In a magnetic field, the force on a charged particle is zero when it moves:

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Question: In a magnetic field, the force on a charged particle is zero when it moves:

Options:

  1. Perpendicular to the field
  2. Parallel to the field
  3. At an angle of 30 degrees
  4. At an angle of 90 degrees

Correct Answer: Parallel to the field

Solution:

The magnetic force on a charged particle is zero when it moves parallel to the magnetic field, as the angle θ = 0° results in sin(θ) = 0.

In a magnetic field, the force on a charged particle is zero when it moves:

Practice Questions

Q1
In a magnetic field, the force on a charged particle is zero when it moves:
  1. Perpendicular to the field
  2. Parallel to the field
  3. At an angle of 30 degrees
  4. At an angle of 90 degrees

Questions & Step-by-Step Solutions

In a magnetic field, the force on a charged particle is zero when it moves:
  • Step 1: Understand that a charged particle is something like an electron or proton that has an electric charge.
  • Step 2: Know that a magnetic field is an area around a magnet where magnetic forces can be felt.
  • Step 3: Learn that when a charged particle moves in a magnetic field, it experiences a force.
  • Step 4: The strength of this force depends on the angle between the direction of the particle's movement and the direction of the magnetic field.
  • Step 5: When the charged particle moves in the same direction as the magnetic field, the angle (θ) between them is 0°.
  • Step 6: At 0°, the sine of the angle (sin(θ)) is 0, which means the magnetic force is also 0.
  • Step 7: Therefore, the force on the charged particle is zero when it moves parallel to the magnetic field.
  • Magnetic Force on Charged Particles – The magnetic force on a charged particle is given by the equation F = q(v × B), where F is the force, q is the charge, v is the velocity of the particle, and B is the magnetic field. The force is zero when the particle's velocity is parallel to the magnetic field.
  • Angle and Magnetic Force – The angle θ between the velocity vector and the magnetic field vector affects the magnetic force. When θ = 0° or θ = 180°, the sine component (sin(θ)) becomes zero, resulting in no magnetic force.
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