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Comparison of Magnetostatics and Electrostatics

Comparison of Magnetostatics and Electrostatics. Gauss’s law. no magnetic monopoles!. Ampere’s law. Boundary conditions:. far from all charges. far from all currents. Magnetic effects are attributable to electric charges in motion. Magnetic Vector Potential.

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Comparison of Magnetostatics and Electrostatics

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  1. Comparison of Magnetostatics and Electrostatics Gauss’s law no magnetic monopoles! Ampere’s law Boundary conditions: far from all charges far from all currents Magnetic effects are attributable to electric charges in motion

  2. Magnetic Vector Potential The vector potential is not uniquely defined: • Both vector potentials produce the same magnetic field • One can require that source field

  3. Poisson’s equation for line current for surface current

  4. Example: vector potential of a thin long straight wire For Example: find the vector potential of a uniform magnetic field check using the Einstein notation

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