User:Chela5808/My sandbox Sam6 HandStyled

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Styling by hand Sample 6

• Text: Wiki Markup;
• Formulae: [math]\mathrm{L\!\!^{{}_{\scriptstyle A}} \!\!\!\!\!\;\; T\!_{\displaystyle E} \! X} \,[/math]

Comments:

• Hand styling time : 50 mins (mmhh.. too much)

Let’s collect all the key equations, which contain all of electrostatics and magnetostatics, together in one nice little box. On introducing [math]\mu_0 =1/\overline{\mu}_0[/math] , which is the magnetic permeability of free space, we obtain the standard forms:

[math]\text{(a) div E} = \sigma/\epsilon0\,[/math]	[math]\text{(c) div B}=0\,[/math]
[math]\text{(b) curl E} = 0\,[/math]	[math]\text{(d) curl B}=\mu_0\text{j}\,[/math]

(1)

That’s all we need in order to calculate the [math]\text{E}\,[/math] and [math]\text{B}\,[/math] fields arising from any given distribution of charges and steady currents – throughout the whole of empty space! They contain Gauss’s law, Ampère’s law, and everything we’ve done so far, including the applications we’ve made to particular systems like charged spheres and plates. current-carrying wires, and so on.