# Intro: *Magnets. How do they work?* Fun times. %%write about the people childhood magnet memory and stuff%% # Magnetic Force %%You need to derive the formula for magnetic force!%% So, magnetic force is given by the equation: $F = BIL\sin \theta$ If we're dealing with individual charges (i.e if the question says to find the magnetic force on a specific charge), we can rearrange the equation to get: $F = B\frac{q}{t}L\sin \theta$ $F = Bq \frac{L}{t} \sin \theta$ $F = Bqv\sin \theta$ ***Where:*** - $q$ is the charge of the particle that we're trying to find the force on - $L$ is the length of the conductor - $I$ is the current through the conductor - $\theta$ is the angle between the current and the force - $F$ is the magnetic force For $Bqv \sin \theta$, the angle refers to the angle between the force and the magnetic field vector $B$. # The Left-Hand Rule (Motor Effect) Now, the iB doesn't go into *why* this works, but you're still generally expected to know why it does. >[!Success]- Why does the Left-Hand Rule work? >...and I went into depth for why it works in my free time! It's because of the **Lorentz Force** (TBA article, need more time to get into depth), which determines the magnetic AND electric force - so the whole system - on a charged particle. Moving on, the left hand rule is defined by the **thumb** representing the *magnetic force*, the **index finger** representing the *magnetic field vectors*, and the **middle finger** the *current* through the conductor. ![[left-hand-rule-current.png]] And for the charge equation, we can get a similar diagram: ![[left-hand-rule-charge.png]] # Example Problems # What's Next? Congratulations. First trial complete. Now, this topic **is** a slog - so be careful! Next up on the iB and other high school curricula will probably be electromagnetic induction. Move to the article by clicking [[EM Induction - A Guide to Inductance (ElectroMagnetism)|here]]. Good luck! As of writing this, I'm looking at those 1st-2nd year E&M courses. I'm very scared.