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Physics XII Notes for Physics Notes

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Force On Moving Charge On A Magnetic Field (Lorentz Force)

Consider a charged particle or charge =q is moving with velocity v on a magnetic field B can experience magnetic force FM. If the direction of magnetic field is represented by Y-axis, velocity of charged particle is along XY plane making angle θ with direction of magnetic field (B), then the direction of magnetic force is represented by Z-axis.

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Experimentally it is found that magnitude of magnetic force is
directly proportional to the magnitude of the charge i.e

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directly proportional to the velocity of the charge i.e.

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directly proportional to the strength of magnetic field i.e

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directly proportional to the sine of angle between v and B i.e

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Now from above equations, we get,

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This is the expression for Lorentz magnetic force where FM is perpendicular to the plane of v and B.

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