A proton moves in a magnetic field and experiences a force. If the velocity of t

Practice Questions

Q1
A proton moves in a magnetic field and experiences a force. If the velocity of the proton is doubled, what happens to the magnetic force?
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

A proton moves in a magnetic field and experiences a force. If the velocity of the proton is doubled, what happens to the magnetic force?
  • Step 1: Understand that a proton is a charged particle.
  • Step 2: Know that when a charged particle moves in a magnetic field, it experiences a magnetic force.
  • Step 3: Remember the formula for magnetic force: F = q * v * B, where F is the force, q is the charge, v is the velocity, and B is the magnetic field strength.
  • Step 4: Identify that in this formula, the force (F) is directly proportional to the velocity (v) of the proton.
  • Step 5: If the velocity (v) of the proton is doubled, then the magnetic force (F) will also double.
  • Step 6: Conclude that if the velocity of the proton is doubled, the magnetic force it experiences will also double.
  • Magnetic Force on a Charged Particle – The magnetic force experienced by a charged particle moving in a magnetic field is given by the equation F = q(v × B), where F is the magnetic force, q is the charge, v is the velocity, and B is the magnetic field. This shows that the force is directly proportional to the velocity of the charge.
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