Lorentz force via electromagnetic field¶
The Lorentz force law states that a charged particle moving in an electromagnetic field experiences a force that depends on the values of the electric field and the magnetic field.
Notation:
\(\left[ \vec a, \vec b \right]\) (
cross(a, b)) is the cross product between \(\vec a\) and \(\vec b\).
Notes:
This law is valid even in the relativistic case.
This law works only in principle because a real particle would generate its own electromagnetic field that would interact with the external one which would alter the electromagnetic force it experiences.
Links:
- Symbol:
F- Latex:
\({\vec F}\)
- Dimension:
force
- Symbol:
q- Latex:
\(q\)
- Dimension:
charge
- electric_field¶
Vector of the electric field. See
electric_field_strength.
- Symbol:
E- Latex:
\({\vec E}\)
- Dimension:
voltage/length
- Symbol:
v- Latex:
\({\vec v}\)
- Dimension:
velocity
- magnetic_flux_density¶
Vector of the
magnetic_flux_density.
- Symbol:
B- Latex:
\({\vec B}\)
- Dimension:
magnetic_density
- law¶
F = q * (E + cross(v, B))- Latex:
- \[{\vec F} = q \left({\vec E} + \left[ {\vec v}, {\vec B} \right]\right)\]