In a magnetic field, the force on a charged particle is maximum when the angle b

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Question: In a magnetic field, the force on a charged particle is maximum when the angle between the velocity and the magnetic field is: (2019)

Options:

Correct Answer: 90 degrees

Exam Year: 2019

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.

In a magnetic field, the force on a charged particle is maximum when the angle between the velocity and the magnetic field is: (2019)

In a magnetic field, the force on a charged particle is maximum when the angle between the velocity and the magnetic field is: (2019)

Step 1: Understand that a charged particle moving in a magnetic field experiences a force.
Step 2: Know that the direction of this force depends on the angle between the particle's velocity and the magnetic field.
Step 3: Recognize that the force is calculated using the formula F = q * v * B * sin(θ), where θ is the angle between the velocity (v) and the magnetic field (B).
Step 4: Realize that the sine function (sin) reaches its maximum value of 1 when θ is 90 degrees.
Step 5: Conclude that the force on the charged particle is maximum when the angle between the velocity and the magnetic field is 90 degrees.

Lorentz Force – The force experienced by a charged particle moving in a magnetic field, which is given by the equation 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 value when the angle is 90 degrees.