- 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: $$