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

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

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

Step 1: Understand the formula for magnetic force, which is F = qvB sin(θ).
Step 2: Identify the variables in the formula: F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.
Step 3: Note that in this case, the particle is moving perpendicular to the magnetic field, so θ = 90 degrees.
Step 4: Since sin(90 degrees) = 1, the formula simplifies to F = qvB.
Step 5: If the magnetic field strength B is doubled, we replace B with 2B in the formula: F = qv(2B).
Step 6: This means the new force F' = qv(2B) = 2(qvB), which shows that the force F' is double the original force F.
Step 7: Therefore, if the magnetic field strength is doubled, the magnetic force on the charged particle also doubles.

Magnetic Force on Charged Particles – The magnetic force acting on a charged particle moving in a magnetic field is directly proportional to the magnetic field strength, the charge of the particle, and its velocity, particularly when the motion is perpendicular to the field.