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Discuss the motion of charged particles in magn... - SS2 Physics Electromagnetism Question

Discuss the motion of charged particles in magnetic fields and explain how their trajectory is affected by various factors.

The motion of charged particles in magnetic fields depends on various factors, including the velocity of the particle, the magnetic field strength, and the angle between the velocity and magnetic field direction.

When a charged particle moves parallel or antiparallel to the magnetic field, it experiences no magnetic force. However, when the particle's velocity has a component perpendicular to the magnetic field, it experiences a magnetic force that causes it to move in a circular path. The radius of this path depends on the particle's velocity, the magnetic field strength, and the mass-to-charge ratio of the particle.

The trajectory of a charged particle can be affected by the angle between its velocity and the magnetic field. When the velocity is at an angle to the magnetic field, the particle moves along a helical path, combining the circular motion and the original direction of motion. The pitch of the helix depends on the angle and the ratio of the particle's charge to its mass.

Additionally, the motion of charged particles in magnetic fields can be used to determine their charge-to-mass ratio in devices like mass spectrometers or to deflect charged particles in particle accelerators.

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