Physics High School

an electron moving in a uniform magnetic field experiences the maximum magnetic force when the angle between the direction of the electron's motion and the direction of the magnetic field is A) 0 B) 45°C ) 90° D) 180°

Answers

Answer 1

An electron moving in a uniform magnetic field experiences the maximum magnetic force when the angle between the direction of the electron's motion and the direction of the magnetic field is 90°. So, option C) is correct.

The correct answer is C) 90°. This is because the magnetic force on a charged particle, say, an electron, moving in a magnetic field is given by F = qvBsinθ, where q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

When θ = 90°, sinθ = 1, and therefore the magnetic force is at its maximum value. When θ = 0° or 180°, sinθ = 0, and the magnetic force is zero.

When θ = 45°, sinθ is less than 1, so the magnetic force is less than its maximum value.

The magnetic force acting on a moving charged particle is given by F = q(v × B), where F is the magnetic force, q is the charge of the particle, v is its velocity, and B is the magnetic field.

The cross product (v × B) in the formula implies that the magnetic force is at its maximum when the angle between the velocity and the magnetic field is 90 degrees.

So, option C) is correct.

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