Ciro Santilli
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# Explicit scalar form of the Maxwell's equations

| 🗖 nosplit | ↑ parent "Maxwell's equations" | 95, 193, 1
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For numerical algorithms and to get a more low level understanding of the equations, we can expand all terms to the simpler and more explicit form: $$∂x∂Ex​​+∂x∂Ey​​+∂x∂Ez​​=ε0​ρ​∂x∂Bx​​+∂x∂By​​+∂x∂Bz​​=0∂y∂Ez​​−∂z∂Ey​​=−∂t∂Bx​​∂z∂Ex​​−∂x∂Ez​​=−∂t∂By​​∂x∂Ey​​−∂y∂Ex​​=−∂t∂Bz​​∂y∂Bz​​−∂z∂By​​=μ0​(Jx​+ε0​∂t∂Ex​​)∂z∂Bx​​−∂x∂Bz​​=μ0​(Jy​+ε0​∂t∂Ey​​)∂x∂By​​−∂y∂Bx​​=μ0​(Jz​+ε0​∂t∂Ez​​) (7)$$
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