Advanced Placement Physics C: Electricity and Magnetism with calculus applications.
Moving charges create magnetic fields. The field’s direction is given by the right-hand rule.
The force on a charge moving in a magnetic field is
\[ \vec{F} = q \vec{v} \times \vec{B} \] where \( q \) is the charge, \( \vec{v} \) is velocity, and \( \vec{B} \) is magnetic field.
A wire carrying current in a magnetic field experiences a force:
\[ \vec{F} = I \vec{L} \times \vec{B} \]
Integrals and derivatives help us analyze changing fields and forces, especially in loops and coils.
Magnetic forces run electric motors and help MRI machines create detailed images of our bodies.
Finding the radius of an electron’s path in a magnetic field.
Calculating the force on a current-carrying wire in a lab magnet.
Magnetic fields are created by moving charges and exert forces on other moving charges and currents.