Magnetostatics and Electrodynamics

Apply the Biot-Savart Law and Ampère's Law (integral and differential forms) to calculate magnetic fields.

Derive the magnetic vector potential and use it to solve for magnetic fields.

Analyze the motion of charged particles in combined electric and magnetic fields (Lorentz force).

Derive Faraday's Law of Induction in integral and differential forms (∇ × E = -∂B/∂t).

Calculate mutual and self-inductance and analyze energy stored in magnetic fields.

Analyze transient and steady-state behavior of RL, LC, and RLC circuits using ODEs.

Formulate the Ampère-Maxwell law by introducing the concept of displacement current.

Assemble and interpret the full set of Maxwell's equations in their differential and integral forms.