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

₹0.0

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

Options:

Correct Answer: 90 degrees

Exam Year: 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.

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

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

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.

Magnetic Force on Charged Particles – The force experienced by a charged particle moving in a magnetic field is dependent on the charge, velocity, magnetic field strength, and the angle between the velocity and the magnetic field.
Sine Function in Trigonometry – Understanding the properties of the sine function, particularly that it reaches its maximum value of 1 at 90 degrees.