15 lines
971 B
Markdown
15 lines
971 B
Markdown
- 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:
|
|
$$ |