The force on a charged particle in a magnetic field is maximum when the angle be

₹0.0

Question: The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)

Options:

Correct Answer: 90 degrees

Exam Year: 2021

Solution:

The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is 90 degrees.

The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)

The force on a charged particle in a magnetic field is maximum when the angle between the velocity and the magnetic field is: (2021)

Step 1: Understand that a charged particle moving in a magnetic field experiences a force.
Step 2: Know that the strength of this force depends on the angle between the direction of the particle's velocity and the direction of the magnetic field.
Step 3: Recognize that the force is maximum when the angle is 90 degrees, meaning the velocity is perpendicular to the magnetic field.
Step 4: Remember that at 90 degrees, the sine of the angle is 1, which gives the maximum value for the force formula.

Lorentz Force – The force experienced by a charged particle moving in a magnetic field, given by F = q(v × B), where F is the force, q is the charge, v is the velocity, and B is the magnetic field.
Angle Dependency – The force is dependent on the sine of the angle between the velocity vector and the magnetic field vector, reaching maximum when the angle is 90 degrees.