If the magnetic field strength is doubled, what happens to the force on a charged particle moving perpendicular to the field?
Practice Questions
1 question
Q1
If the magnetic field strength is doubled, what happens to the force on a charged particle moving perpendicular to the field?
It doubles
It halves
It remains the same
It quadruples
The force on a charged particle is directly proportional to the magnetic field strength, so if the magnetic field strength is doubled, the force also doubles.
Questions & Step-by-step Solutions
1 item
Q
Q: If the magnetic field strength is doubled, what happens to the force on a charged particle moving perpendicular to the field?
Solution: The force on a charged particle is directly proportional to the magnetic field strength, so if the magnetic field strength is doubled, the force also doubles.
Steps: 6
Step 1: Understand that a charged particle moving in a magnetic field experiences a force.
Step 2: Know that the force on the charged particle is calculated using the formula 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 3: Recognize that in this formula, the force (F) is directly proportional to the magnetic field strength (B).
Step 4: If the magnetic field strength (B) is doubled, it means we replace B with 2B in the formula.
Step 5: This means the new force (F') will be F' = q * v * (2B) = 2 * (q * v * B) = 2F.
Step 6: Conclude that if the magnetic field strength is doubled, the force on the charged particle also doubles.
