MasteryExams
General Science • PhysicsHard

In a uniform magnetic field, a charged particle enters with a velocity component parallel to the magnetic field lines and another component perpendicular to them. What is the resulting trajectory of the particle?

A. A straight line
B. A perfect circle
C. A helix with uniform pitch✓ Correct Answer
D. A parabola

💡 Solution & Explanation

When a charged particle has a velocity vector with both parallel and perpendicular components relative to a uniform magnetic field, the perpendicular component causes uniform circular motion while the parallel component remains unaffected, resulting in a helical trajectory. A purely perpendicular entry produces a circle, whereas a purely parallel entry results in a straight line. The radius of the helical path depends directly on the particle mass and perpendicular velocity, and inversely on its charge and magnetic field strength.

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