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Lorentz Force Calculator

Physics
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Calculates the force exerted on a moving charge by electric and magnetic fields.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Charge (Coulombs), Velocity (m/s), Magnetic Field Strength (Tesla), Electric Field Strength (N/C), and Angle (degrees) between velocity and magnetic field in the units shown.

Step 2

Read Electric Force Magnitude (Newtons), Magnetic Force Magnitude (Newtons), and Total Lorentz Force Magnitude (Newtons) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Charge (Coulombs): 1 C; Velocity (m/s): 100 m/s; Magnetic Field Strength (Tesla): 0.5 T; Electric Field Strength (N/C): 10 N/C; Angle (degrees) between velocity and magnetic field: 30 degrees

Electric Force Magnitude (Newtons): 10 N; Magnetic Force Magnitude (Newtons): 25 N; Total Lorentz Force Magnitude (Newtons): 26.92582404 N

Example 2

Charge (Coulombs): 2 C; Velocity (m/s): 50 m/s; Magnetic Field Strength (Tesla): 0.2 T; Electric Field Strength (N/C): 5 N/C; Angle (degrees) between velocity and magnetic field: 45 degrees

Electric Force Magnitude (Newtons): 10 N; Magnetic Force Magnitude (Newtons): 14.14213562 N; Total Lorentz Force Magnitude (Newtons): 17.32050808 N

Example 3

Charge (Coulombs): -1 C; Velocity (m/s): 200 m/s; Magnetic Field Strength (Tesla): 1 T; Electric Field Strength (N/C): 0 N/C; Angle (degrees) between velocity and magnetic field: 90 degrees

Electric Force Magnitude (Newtons): 0 N; Magnetic Force Magnitude (Newtons): 200 N; Total Lorentz Force Magnitude (Newtons): 200 N

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