Materials Science and Engineering/Equations/Magnetism
Appearance
Force of Charged Particle
[edit | edit source]When a charged particle moves through a magnetic field B, it feels a force F given by the cross product:
Force on Current-Carrying Wire
[edit | edit source]The formula for the total force is as follows:
where
- F = Force, measured in newtons
- I = current in wire, measured in amperes
- B = magnetic field vector, measured in teslas
- = vector cross product
- L = a vector, whose magnitude is the length of wire (measured in metres), and whose direction is along the wire, aligned with the direction of conventional current flow.
Magnetic Field from Steady Current
[edit | edit source]The magnetic field generated by a steady current (a continual flow of electric charge, for example through a wire, which is constant in time and in which charge is neither building up nor depleting at any point), is described by the Biot-Savart law:
(in SI units), where
- is the current,
- is a vector, whose magnitude is the length of the differential element of the wire, and whose direction is the direction of conventional current,
- is the differential contribution to the magnetic field resulting from this differential element of wire,
- is the magnetic constant,
- is the unit displacement vector from the wire element to the point at which the field is being computed, and
- is the distance from the wire element to the point at which the field is being computed.
Magnetic Field Inside Coil - Empty Inductor
[edit | edit source]
Energy per Unit Volume of Empty Inductor
[edit | edit source]
Total Stored Energy in an Empty Inductor
[edit | edit source]
Magnetic Field
[edit | edit source]Relative Permeability of a Material
[edit | edit source]Anisotropy Energy
[edit | edit source]