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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
Dielectrics P(E): polarization D: displacement surface charge
Diamagnetics M(B): magnetization K: surface current
Energy stored in Magnetic Fields
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