Maxwell related equations converted from MKSA units to Gaussian units

AI Thread Summary
The discussion focuses on converting Maxwell's equations from MKSA units to Gaussian units, specifically the equation relating the divergence of the electric field to charge density. The conversion involves multiplying the electric field by 1/sqrt(4*pi*eo) and the charge density by sqrt(4*pi*eo), resulting in E = p*4*pi in Gaussian units. The user seeks assistance in converting additional equations, such as the relationship between the vector potential A and the electric field E, back into MKSA units. They mention a previous attempt to create a systematic approach for these conversions but lacked the time to verify its consistency across all of electromagnetism. Resources for further reference on Maxwell's equations in both unit systems are provided.
Ed Quanta
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So here is an example of what I am trying to do.

We know that div of an E field=p/eo

where p=charge density and eo=the permittivity of free space. This equation is expressed in MKSA units. In order to convert this into Gaussian units, we must multiply E by 1/sqare root of 4*pi*eo, and multiply p by square root of 4*pi*eo.

Thus we are left with E= p*4*pi in Gaussian units

Now where A is a vector field and T is a potential scalar, I know that B=curl of A

and E=-gradient of T -1/c*dA/dt in the Gaussian unitss. I have to then convert this into MKSA. I am not sure what to do here because unlike the example which I dealt with above, I do not know how to convert both sides of the equation accordingly. Help anyone?
 
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This might help.
http://electron6.phys.utk.edu/phys594/Tools/e&m/summary/maxwell/maxwell.html
( http://electron6.phys.utk.edu/phys594/ for the main page)

I once tried to come up with a scheme to write the equations in a way that easily showed the conversion.

For example, I wrote \nabla\cdot E= \left[ \frac{1}{4\pi\epsilon_0}\right]4\pi \rho. However, I never had the time to check that the whole scheme applied to all of electromagnetism was consistent.
 
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