A charged particle is in jected into a uniform magnetic field. If the angle between the particle

step 1 This question belongs to the magnetic forces and fields in which we have a charged particle whic

A charged particle is in jected into a uniform magnetic...

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Key Concepts

Helical Motion

The motion of the particle becomes helical when both the circular motion (due to the perpendicular component) and the uniform linear motion (due to the parallel component) occur simultaneously. The resulting trajectory is a helix, characterized by circular motion in a plane perpendicular to the magnetic field along with a constant displacement along the direction of the field.

Lorentz Force

The Lorentz force is the force acting on a charged particle moving in a magnetic field. It is given by F = q(v x B), meaning that the force is perpendicular to both the velocity of the particle and the magnetic field. This principle explains why the particle's speed remains constant while its direction changes.

Decomposition of Velocity Components

When a charged particle enters a magnetic field at an angle, its velocity can be split into two components: one parallel to the magnetic field and one perpendicular to it. The parallel component remains unaffected by the magnetic force, while the perpendicular component causes the particle to undergo circular motion.

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