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E&M summary- Maxwell's Equations

E&M summary- Maxwell's Equations - SUNY Geneseo...

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SUNY Geneseo, Department of Physics and Astronomy Physics 125: Analytical Physics II Summary of ElectroMagnetism Forces: Electric Magnetic Force between point charges (Coulomb’s Law) 1 2 2 0 1 ˆ 4 Q Q F r r πε = G There are no monopoles! Force between very long charged rods 1 2 0 1 2 F L d λ λ πε = Force between wires with currents 0 1 2 2 i i F L d μ π = Field creation: Electric Magnetic Electric field from charge (also sometimes called Coulomb’s Law) Alternate version (Gauss’s Law) 1 2 0 1 ˆ 4 Q E r r πε = G enc 0 1 E E dA q ε = Φ = G G i v There are no monopoles! Alternate version (Gauss’s Law for Magnetism) 0 B B dA = Φ = G G i v There is nothing sensible to put here Magnetic field from current segment (Law of Biot-Savart) Alternate version (Ampere’s Law) 0 2 ˆ 4 ds r dB i r μ π × = G G
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