If the magnetic field strength is doubled, what happens to the force on a charge

If the magnetic field strength is doubled, what happens to the force on a charged particle moving perpendicular to the field?

If the magnetic field strength is doubled, what happens to the force on a charged particle moving perpendicular to the field?

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.

Magnetic Force on Charged Particles – The force experienced by a charged particle moving in a magnetic field is given by the equation F = qvB sin(θ), where F is the force, 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. When the particle moves perpendicular to the field, sin(θ) = 1.