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The force experienced by a charged particle moving in a magnetic field is maximu

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Question: The force experienced by a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2020)

Options:

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

Correct Answer: 90 degrees

Exam Year: 2020

Solution: 

The force (F) on a charged particle in a magnetic field is given by F = qvB sin(θ). The force is maximum when θ = 90 degrees, as sin(90) = 1.

The force experienced by a charged particle moving in a magnetic field is maximu

Practice Questions

Q1
The force experienced by a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2020)
  1. 0 degrees
  2. 90 degrees
  3. 180 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

The force experienced by a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2020)
  • Step 1: Understand that a charged particle moving in a magnetic field experiences a force.
  • Step 2: Know the formula for the force (F) on a charged particle: F = qvB sin(θ).
  • Step 3: Identify the variables in the formula: 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 the value of sin(θ).
  • Step 5: Remember that the maximum value of sin(θ) is 1, which occurs when θ = 90 degrees.
  • Step 6: Conclude that the force is maximum when the angle between the velocity and the magnetic field is 90 degrees.
  • Magnetic Force on Charged Particles – The force experienced by a charged particle moving in a magnetic field is determined by the charge, velocity, magnetic field strength, and the angle between the velocity and the magnetic field.
  • Trigonometric Functions in Physics – Understanding how the sine function behaves, particularly that it reaches its maximum value of 1 at 90 degrees, is crucial for solving problems involving angles in physics.
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