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Magnetic Force on a Charge

Find magnetic force magnitude from velocity and field angle.

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Local calculations. Results are estimates, not professional advice.

Magnetic force magnitude

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Idealized SI-unit educational model. Real components, tolerances, losses and safe operating limits require separate verification.

Formula

Use F = abs(q)vB sinθ. q is charge converted from µC to C, v is speed in m/s, B is magnetic flux density in T, and θ is the velocity-field angle in degrees. abs means absolute value; force magnitude is in N.

Find magnetic force magnitude from velocity and field angle.

Worked example

Charge (µC)
2
Speed (m/s)
1000
Magnetic flux density (T)
0.5
Velocity-field angle (degrees)
90
Magnetic force magnitude
0.001 N

Scope and limitations

Idealized SI-unit educational model. Real components, tolerances, losses and safe operating limits require separate verification.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 1ac8bb8bf95d · Example checked:

Methodology

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