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Magnetic Lorentz Force: Signed Transverse Scalar

Calculate magnetic lorentz force: signed transverse scalar with compatible units, known-value inputs and clearly stated model assumptions.

Calculator inputs

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Enter the known values in the units shown. Results update as you type.
Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
Use the worked example to check the method. Reset restores the starting fields.

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For the worked inputs, Signed magnetic transverse quantity qvB sin α is approximately -24 N.

F = qvB sin α

Enter these known values and leave the other values blank.

Magnetic Field: 2 T
Charge: -3 C
Velocity: 4 m/s
Angle: 89.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999998 deg

This is the magnetic term alone. Add qE separately when an electric field is present.
The scalar keeps the sign of q for nonnegative field/speed and an angle from zero to 180 degrees. Its absolute value is the force magnitude; vector direction requires the cross product.
The inverse sine angle supplies one principal solution; a supplementary angle can produce the same force. Zero factors make some inverse calculations nonunique.
Numerical arithmetic uses 64 significant digits; displayed values are rounded separately. Captured particle-mass and astronomical unit conversions retain their stated approximations.

This is the magnetic term alone. Add qE separately when an electric field is present.

Bookify requires physically valid mass or nonnegative field/speed magnitudes and principal scattering angles for this stated model.