The Electric and Magnetic fields Maxwell’s equations in free space References: Feynman, Lectures on Physics II Davis & Snyder, Vector Analysis.

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Presentation transcript:

The Electric and Magnetic fields Maxwell’s equations in free space References: Feynman, Lectures on Physics II Davis & Snyder, Vector Analysis

Sources: elementary charges A moving charge q creates an electric as well as a magnetic field around itself, E and B

A moving charge q is affected by the local values of the E and B fields ( Lorenz Force ) Center of gyration locus

ME1: Sources for E field ( Gauss’ Law )

The Biot-Savart Law (magnetostatics) ME2 : No Magnetic Charges

Magnetic field due to a loop of current Force on a current loop due to a magnetic field

Mutual Inductance of two coils: force from one coil to another

Ampere’s Law A changing electric flux through the loop, like a current flux, induces a circulation of the magnetic field around the loop ME3:

Faraday’s Law A changing magnetic flux through the loop, induces a circulation of the electric field around the loop ME4:

The continuity equation The rate of change of the material (charge) in a control volume D equals the net flux into the volume

Electromagnetic waves

Dielectrics P(E): polarization D: displacement   surface charge

Diamagnetics M(B): magnetization K: surface current