Why Does Magnetic Force Not Alter the Speed of a Charged Particle?

Thread starter tin llenaresas
Start date Sep 18, 2005
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Force Magnetic Magnetic force Velocity

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The magnetic force on a charged particle acts perpendicular to its velocity, as described by the equation F=q(vXB). This perpendicular force changes the direction of the particle's motion without affecting its speed. Since the magnetic force does not act in the same direction as the particle's velocity, it does no work on the particle. Consequently, the magnitude of the velocity remains constant while the particle moves in a curved path. Thus, magnetic forces influence direction but not speed.

Sep 18, 2005

tin llenaresas

why is the magnitude of velocity of a charged particle not affected by magnetic force? :bugeye:

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Sep 18, 2005

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The magnetic force always acts in a direction perpendicular to the velocity, sine F=q(vXB), so it only changes the direction of motion, not the speed. This also means it does no work on the particle.

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