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Magnetic force magnitude · formula reference

The stated velocity is perpendicular to the magnetic field. Magnetic force does no work on the point charge.

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Formula

The stated velocity is perpendicular to the magnetic field. Magnetic force does no work on the point charge.

F = |q|vB sin θ

Worked example

A charge of magnitude 7 μC travels at 13 m/s perpendicular to B=1.8 T. Find magnetic force magnitude in μN. Round the final result to 4 decimal places if needed. Answer in μN.

At 90°, sin θ=1. The micro prefix in charge and requested force cancel numerically.

163.8 μN

Prerequisites and checking

Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.

Further reading and review references

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