<font color="yellow">As for why the value of mu and epsilon are what they are, at least in a vacuum: well, they're "fundamental constants"...so we don't know why, they just are. As for why a medium has a particular value, its the way the material retards and interferes with EM waves by the presence of the charged atomic particles.</font><br /><br />If you want a butt easy answer to this question first you must assume the speed of light is c in all mediums. To do the fix, assume that when the speed of light slows down that <b>it's actually "time dilation"</b> so that a refractive index of 2 corresponds to a time dilation of 2. Then time dilation is simply 1/(v*sqrt(mu*epsilon)), where v is the velocity of light using our units of time (as if we possessed the coordinate time frame). In this case, you assume that time runs at different speeds inside different mediums (e.g. time would run slower in diamond than it would in glass). As for force in netwons, being in units of kg m/s^2, it would increase with the square of the time dilation (i.e. the forces just look weaker than they really are due to time dilation making them "slow motion"), and with energy (gravitational potential energy, kinetic energy, etc.) - still the square of the time dilation. kg*m/C^2 (i.e. permeability) would remain the same, whereas permittivity ((C^2*s^2)/(kg*m)) it would be inversely proportional to second power of the time dilation (i.e. this would mean that permittivity is overestimated by a factor equal to the second power of the time dilation) such that sqrt(permittivity*permeability) is overestimated by the factor for time dilation.<br /><br />As for the values of mu and epsilon, they're like the constant G, that is, they depend on the units we use to define them. If we use different units we (in just about all cases) will get a different "magnitude".