Electrostatics and magnetostatics#

Static fields from charges and steady currents: Coulomb’s inverse-square law, the Laplace-Legendre multipole expansion, Poisson’s equation solved on a grid by relaxation and by fast transforms, Green’s method of images for conductors, and the Biot-Savart field of a current loop and a finite solenoid.

The Biot-Savart law: a current loop and a finite solenoid

The Biot-Savart law: a current loop and a finite solenoid

Coulomb’s law: the inverse-square force and superposition

Coulomb's law: the inverse-square force and superposition

Green’s function and the method of images

Green's function and the method of images

Laplace and Legendre: the multipole expansion of a far field

Laplace and Legendre: the multipole expansion of a far field

Poisson’s equation: relaxing the potential of charges and conductors

Poisson's equation: relaxing the potential of charges and conductors