notes/education/physics/PHYS2220/Magnetism.md

• Magnetic fields are represented with the symbol \vec{B}
• Magnetism is based in electric charge, specifically the motion of that charge.
• The magnetic force is always at right angles to both the velocity \vec{v}, and the magnetic field \vec{B}
• The force is greatest when the charge is moving at right angles and is zero for motion parallel to the field. THe force is generally proportional to \sin(\theta), where \theta is the angle between the velocity \vec{v}, and the field \vec{B}. The formula that describes magnetic force compactly is:

\vec(F_B) = q\vec(v) \times \vec{B}

- $F_B$ is the magnetic force
- $q$ is the charge the force is acting on
- $v$ is the velocity of the charge
- $B$ is the magnetic field

For the magnitude of a magnetic force: |\vec(F_B)| = |q|vB\sin(\theta) For the radius of a particle's circular path: $r = \frac{mv}{qB}$For the period of a particle's circular orbit in a uniform magnetic field: