Electricity & Magnetism
Magnetic Force on Charge
Magnetic force on moving charge (Lorentz force).
Variables
FN
Magnetic force
Force on charge
In SI units: kg·m/s²
Allowed values: 0 or more
qC
Charge
Moving charge
In SI units: A·s
vm/s
Velocity
Speed of charge
BT
Magnetic field
Field strength
In SI units: kg/(A·s²)
θ°
Angle
Between v and B
In SI units: rad
Derivation
F = qv × B, magnitude |F| = qvB sin θ.
Your notes
0/5000
Check value
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- q = 2 C (Charge)
- v = 3 m/s (Velocity)
- B = 4 T (Magnetic field)
- θ = 5 ° (Angle)
Result: F = 2.0917378 N
Other electricity & magnetism formulas with the same quantities
- Cyclotron Radius (Magnetism) shares Velocity, Charge, Magnetic field
- Cyclotron Frequency (Magnetism) shares Charge, Magnetic field
- Hall Voltage (Magnetism) shares Magnetic field, Charge
- Motional EMF (Electromagnetic Induction) shares Magnetic field, Velocity
- Biot-Savart Law (Magnetism) shares Angle
- Magnetic Field (Long Wire) (Magnetism) shares Magnetic field
Where this formula is listed
- Electricity & Magnetism formulas, under Magnetism, alongside Magnetic Field (Solenoid), Energy Density (Magnetic Field) and Ampere's Law.
- In the electricity & magnetism list it comes after Energy Density (Electric Field) and before Magnetic Force on Wire.
- Electricity & Magnetism formula sheet, one of 48 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Magnetic Force on Charge formula?
Magnetic Force on Charge is written F = qvB sin θ. Magnetic force on moving charge (Lorentz force). It belongs to Electricity & Magnetism, under Magnetism.
What are the units in F = qvB sin θ?
In SI units, F is magnetic force, measured in kg·m/s²; q is charge, measured in A·s; v is velocity, measured in m/s; B is magnetic field, measured in kg/(A·s²); θ is angle, measured in rad.
How is the Magnetic Force on Charge formula derived?
F = qv × B, magnitude |F| = qvB sin θ. The result is F = qvB sin θ.