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2 changes: 1 addition & 1 deletion chapter3/em.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -44,7 +44,7 @@
"\n",
"which holds for an isotropic linear magnetic medium.\n",
"Here, $\\mu$ is the magnetic permability of the material.\n",
"Now, since $B$ is solenodial (divergence free) accoording to Maxwell's equations, we known that $B$ must be the curl of some vector field $A$. This field is called the magnetic vector potential. Since the problem is static and thus $\\frac{\\partial D}{\\partial t}=0$, it follows that\n",
"Now, since $B$ is solenodial (divergence free) according to Maxwell's equations, we known that $B$ must be the curl of some vector field $A$. This field is called the magnetic vector potential. Since the problem is static and thus $\\frac{\\partial D}{\\partial t}=0$, it follows that\n",
"\n",
"$$\n",
"J = \\nabla \\times H = \\nabla \\times(\\mu^{-1} B)=\\nabla \\times (\\mu^{-1}\\nabla \\times A ) = -\\nabla \\cdot (\\mu^{-1}\\nabla A).\n",
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