5.3 Divergence and Curl of B Ampere’s law differential form

Drawing magnetic field lines: The lines are closed or go to infinity. The lines encircle the current. I The lines are perpendicular to the current. For current distributions, decompose into wires and use superposition. Direction from the right-hand rule

Ampere’s law integral form Simple solutions for: Infinite straight lines Infinite planes Infinite solenoids Toroids

Example 5.7 – Straight Wire Field of a straight wire.

Example 5.8 – Uniform Surface Current

Example 5.9 –Long Solenoid

Example 5.8 –Toroidal Coil

Tokamak Nuclear Fusion Reactor

Maxwell’s equations for electro- and magnetostatics Gauss’s law Ampere’s law Far from charges Far from currents Lorentz force