1. Applying the Amp�re-Maxwell equation to surface " S 1 " we find: 2. This is a big difference with Maxwell equations that require only charge conservation. 3. So we cannot naively formulate expectations based on the Maxwell equations in this frame. 4. The microscopic Maxwell equations have universal applicability but may be infeasible to calculate with. 5. The direct space time formulations make manifest that the Maxwell equations are relativistically invariant. 6. By the NP formalism of Einstein-Maxwell equations , one has 7. This theory gives the solutions to the Maxwell equations for prolate and oblate spheroidal particles. 8. It states that any spherically symmetric solution of the source-free Maxwell equations is necessarily static. 9. He is best known for his stories The Maxwell Equations ( 1963 ) and Iva. 10. That is, the current density on the right side of the Amp�re Maxwell equation is:
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