In a magnetic field, the force on a charged particle is maximum when the particle's velocity is:
Practice Questions
1 question
Q1
In a magnetic field, the force on a charged particle is maximum when the particle's velocity is:
Parallel to the field
Perpendicular to the field
At an angle of 45 degrees
At an angle of 90 degrees
The magnetic force on a charged particle is given by F = qvB sin(θ), which is maximum when θ = 90 degrees (perpendicular).
Questions & Step-by-step Solutions
1 item
Q
Q: In a magnetic field, the force on a charged particle is maximum when the particle's velocity is:
Solution: The magnetic force on a charged particle is given by F = qvB sin(θ), which is maximum when θ = 90 degrees (perpendicular).
Steps: 6
Step 1: Understand that a charged particle is something like an electron or proton that has an electric charge.
Step 2: Know that a magnetic field is an area around a magnet where magnetic forces can be felt.
Step 3: Learn that when a charged particle moves in a magnetic field, it experiences a force.
Step 4: The formula for the magnetic force (F) on a charged particle is F = qvB sin(θ), where 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.
Step 5: Recognize that the force is affected by the angle θ. The sine function (sin) reaches its maximum value of 1 when θ is 90 degrees.
Step 6: Conclude that the force on the charged particle is maximum when it moves perpendicular (at 90 degrees) to the magnetic field.
