The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2021)
Practice Questions
1 question
Q1
The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2021)
0 degrees
90 degrees
180 degrees
45 degrees
The force on a charged particle in a magnetic field is given by F = qvB sin(θ). The force is maximum when sin(θ) = 1, which occurs at θ = 90 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: The force on a charged particle moving in a magnetic field is maximum when the angle between the velocity and magnetic field is: (2021)
Solution: The force on a charged particle in a magnetic field is given by F = qvB sin(θ). The force is maximum when sin(θ) = 1, which occurs at θ = 90 degrees.
Steps: 7
Step 1: Understand that a charged particle moving in a magnetic field experiences a force.
Step 2: Know the formula for the force on a charged particle: F = qvB sin(θ).
Step 3: Identify the variables in the formula: 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.
Step 4: Recognize that the force depends on sin(θ).
Step 5: Remember that the maximum value of sin(θ) is 1.
Step 6: Determine when sin(θ = 1): This happens when θ = 90 degrees.
Step 7: Conclude that the force on the charged particle is maximum when the angle between the velocity and the magnetic field is 90 degrees.
