Magnetic Force

When 2 magnetic fields are in opposite directions, they attract eachother. The 2 objects emiting the fields will then move towards eachother

Right Hand Rule (Interaction)

Thumb in direction of Current (WHERE THE POSITIVE CHARGES ARE GOING) Fingers in direction of magnetic field Palm points in direction of magnetic force

Formula

The magnetic force is denoted by: ${\vec{F}}_B=BIL\sin \theta$ Where:

• $\vec{B}$ is the magnitude of the magnetic field strength
• $\vec{I}$ is the magnitude of the current
• $L$ is the length of the wire
• $\theta$ is the angle between magnetic field direction and current direction ${\vec{F}}_B=qvB\sin \theta$

Multiple Charges

${\vec{F}}_B=nqvB\sin \theta$

SI Unit

$Tesla(T)$ - the magnetic field strength required to exert a $1N$ force on a $1m$ wire carrying $1A$ at $90^o$ to the field

Centripetal Charge

A charge with an initial velocity perpendicular to the magnetic field will experience UCM. In UCM, $F_c=F_B$

Formulas

$qvB=\frac{m{v}^2}{r}$ $v=\frac{qBr}{m}$ $m=\frac{q{B}^2{r}^2}{2V}$ $r=\frac{mv}{qB}$