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Help to fully appreciate Maxwell's Equations

2. Relevant equations

Maxwell's Equations (Differential Form):

[tex] \nabla \cdot \vec{E} = \frac{\rho}{\epsilon_0} [/tex]

[tex] \nabla \cdot \vec{B} = 0 [/tex]

[tex] \nabla \times \vec{E} = \frac{\partial \vec{B}}{\partial t} [/tex]

[tex] \nabla \times \vec{B} = \mu_0 J + \mu_0\epsilon_0\frac{\partial \vec{E}}{\partial t} [/tex]

Maxwell's Equations (Integral Form):

[tex] \oint_{closed surface} \vec{E} \cdot dS = \frac{1}{\epsilon_0}\int_{volume} \rho dv [/tex]

[tex] \oint_{closed surface} \vec{B} \cdot dS = 0 [/tex]

[tex] \oint_{loop} \vec{E} \cdot dl = -\frac{d\Phi}{dt} [/tex]

[tex] \oint_{loop} \vec{B} \cdot dl = \mu_0I + \mu_0\epsilon_0 \int_{surface}\frac{\partial E}{\partial t} \cdot ds [/tex]

3. The attempt at a solution

Okay. So this technically isn't a Homework Question as such. In another thread, I was told that to help with some of the more complicated parts of Electromagnetism, I need to fully appreciate what the original Maxwell Equations actually mean/represent.

Could anyone hare help me with this, Please?

Thanks,

TFM

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# Homework Help: Maxwell's Equations: Help to truly understand them

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