Key Equations

the magnitude of the force on an electric charge	$F = q v B \sin θ$
the force on a wire carrying current	$F = I ℓ B \sin θ$
the magnitude of the magnetic field created by a long, straight current-carrying wire	$B_{straight wire} = \frac{μ_{0} I}{2 π r}$
the magnitude of the magnetic field inside a solenoid	$B_{solenoid} = μ_{0} \frac{N I}{ℓ}$

magnetic flux	$Φ = B A \cos θ$
emf	$ε = - N \frac{Δ Φ}{Δ t}$