In a uniform magnetic field, a charged particle moves in a circular path. What i

Practice Questions

Q1
In a uniform magnetic field, a charged particle moves in a circular path. What is the relationship between the radius of the path and the speed of the particle? (2022)
  1. Directly proportional
  2. Inversely proportional
  3. No relation
  4. Quadratic relation

Questions & Step-by-Step Solutions

In a uniform magnetic field, a charged particle moves in a circular path. What is the relationship between the radius of the path and the speed of the particle? (2022)
  • Step 1: Understand that a charged particle moving in a magnetic field experiences a force that causes it to move in a circular path.
  • Step 2: Recognize that the speed of the particle affects how far it travels in one complete circle.
  • Step 3: Realize that if the speed of the particle increases, it needs a larger radius to maintain the circular motion without changing the magnetic field strength.
  • Step 4: Conclude that the radius of the circular path increases as the speed of the charged particle increases, meaning they are directly proportional.
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