This only proves half of what you wrote ;P
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probably left as an exercise to the reader
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Señor por favor me lo traduce a español gracias
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Significa que las lineas del campo magnético son de divergencia nula. Es decir que siempre se cierran sobre si mísmas y convergen en un punto de origen.
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The chp.s in Jackson discussing Dirac monopoles are among my favorite physics literature (Chp. 6.11, 6.12 in 3rd ed.)
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Agreed! The really interesting point Jackson makes is that the existence of one single magnetic monopole in the universe would offer an explanation (by Dirac) of the discrete nature of the electrical charge. Elegantly explained by Jackson.
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But it's not a proof that monopoles don't exist. If they did, we'd have to add a term related to magnetic charge to the equation, just as Maxwell's equations for electric fields have a term for electric charge.
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Net Flux and chill
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Maxwell's First Law defines electric flux/ volume Maxwell's Third Law states if there is a magnetic field there will be an electric field and fourth law explains if there is an electric field, there will be a magnetic field. But I like this one most.
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The existence of a magnetic field is not sufficient to have an electric field, and vice versa.
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