[alancalverd]

Maxwell treated electric charge as continuum, which can be divided infinitesimally.

No. He merely used the known phenomena of a magnetic field being induced by a moving charge and a potential being induced by a changing magnetic field. He made no assumptions about the nature of either.

[alancalverd]

I find it interesting that Maxwell explained the speed of light in a vacuum as c when space isn't a vacuum nor empty.

Hardly interesting at all.  μ₀ and ε₀ are arbitrary constants that relate the observed speed of light  to our conventional units of time and distance.

I also don't understand why Maxwell ignored that the Suns EM field extends all the way to the Earths surface with enough magnitude to illuminate the surface .

For the same reason that he ignored the Irish Question - it's not relevant to the mathematics. But Maxwell's equations do at least predict that the sun's EM field will extend to infinity in all directions, which is a pretty good approximation considering that Einstein hadn't been born at the time.

[DarkKnight]

I also don't understand why Maxwell ignored that the Suns EM field extends all the way to the Earths surface with enough magnitude to illuminate the surface .

That seems to be one of a long list.
Let's cross one item off it.
https://en.wikipedia.org/wiki/Superposition_principle

Any linear operator from any position can be viewed as x .

Unbounded photons can be viewed to travel at 

c=

Any bounded EM fields can be viewed as influenced by the x,y,z operator and the speed the EM field travels is dependent to the bounded bodies speed .

[hamdani yusuf]

Maxwell treated electric charge as continuum, which can be divided infinitesimally.

No. He merely used the known phenomena of a magnetic field being induced by a moving charge and a potential being induced by a changing magnetic field. He made no assumptions about the nature of either.

What is the equation describing how a magnetic field is induced by a moving charge?

[DarkKnight]

But Maxwell's equations do at least predict that the sun's EM field will extend to infinity in all directions, which is a pretty good approximation considering that Einstein hadn't been born at the time.

 

I don't think that is possible because outside of space-time may cause wave-function collapse by the energy being conserved by the empty set
0000.jpg (22.69 kB . 657x364 - viewed 961 times)

[hamdani yusuf]

But Maxwell's equations do at least predict that the sun's EM field will extend to infinity in all directions, which is a pretty good approximation considering that Einstein hadn't been born at the time.

What did Einstein change?

[Kryptid]

Any linear operator from any position can be viewed as x .

Unbounded photons can be viewed to travel at 

c=

Any bounded EM fields can be viewed as influenced by the x,y,z operator and the speed the EM field travels is dependent to the bounded bodies speed .

Nonsense equations as always, huh?

[paul cotter]

Wow, what happened? We were discussing physics and suddenly on page #4 we were overtaken by gibberish.

[DarkKnight]

Any linear operator from any position can be viewed as x .

Unbounded photons can be viewed to travel at

c=

Any bounded EM fields can be viewed as influenced by the x,y,z operator and the speed the EM field travels is dependent to the bounded bodies speed .

Nonsense equations as always, huh?

Maxwell used  μ₀ and ε₀ for an operator , x works just fine.
ex1.jpg (6.07 kB . 365x332 - viewed 896 times)

Obviously x = 299,792,458 metres

μ₀ and ε₀ are not a distance , speed is so μ₀ and ε₀ must be equal to x .
ex2.jpg (8.24 kB . 365x332 - viewed 963 times)

[Origin]

Maxwell used  μ0 and ε0 for an operator , x works just fine.

Unfortunately your 'math' is nonsense.

[DarkKnight]

Maxwell used  μ0 and ε0 for an operator , x works just fine.

Unfortunately your 'math' is nonsense.

Maxwells equations reads

=1

Can you explain where 299,792,458 m/s is derived from that without using x ?

[DarkKnight]

Wow, what happened? We were discussing physics and suddenly on page #4 we were overtaken by gibberish.

In trying to understand any subject , it is firstly of most importance to understand the first principles of a subject. Any branch of knowledge that is taught , should always have strong routes , from a starting point to a conclusion . If this basic principle is not adhered to , then the practitioner becomes ill-informed , having an  inadequate awareness of the facts.
Let us now be clear in our understanding of what is a fact compared to interpretation . A fact is something that is known or proved to be true , it is not something that is solely written on paper . A fact has supporting evidence such as observations , a fact can sometimes be an axiom , something that is self evidently true . If we ignore the facts and/or axioms then we are just being subjective as opposed objective. This information is then ill-informed information and can be misleading to a student ,allowing them false ideologies of a subject .

[alancalverd]

What is the equation describing how a magnetic field is induced by a moving charge?

Ampere's Law.

[alancalverd]

In trying to understand any subject

...it is helpful to listen before talking, or read before writing. The essence of science is humility in the face of established facts.

[DarkKnight]

In trying to understand any subject

...it is helpful to listen before talking, or read before writing. The essence of science is humility in the face of established facts.

I have always listened and remain humble . It is helpful if science listened occasionally, Maxwells equation for the speed of light reads

=1

?

[alancalverd]

Not the Maxwell who attended my alma mater, then. Sorry I don't know anything about yours.

[DarkKnight]

Not the Maxwell who attended my alma mater, then. Sorry I don't know anything about yours.

Then can you explain your input value for the bracketed part of Maxwells equation ?

c = 1/(μ0ε0)

I read 0

[Bored chemist]

Maxwells equation for the speed of light reads

1/0=1

No, it does not.

c = 1/(μ0ε0)

Should be
1/√(μ₀ε₀)
The subscript zeroes tell you that the permittivity and permeability are the values for a vacuum rather than anything else.

It is helpful if science listened occasionally

In what way does it help if science listens, when you don't?

[alancalverd]

Different Maxwell, like I said.

Mine used old cgs units but in SI we have

μ₀ ≈ 1.26 x 10^-6 H/m and

ε₀ ≈ 8.85 x 10^-12 F/m

It is left as an exercise to the reader to determine the value and dimensions of their product.

[DarkKnight]

Should be
1/√(μ₀ε₀)
The subscript zeroes tell you that the permittivity and permeability are the values for a vacuum rather than anything else.

  I am well aware of what the values mean but in regards to the measure of the speed of anything , is required . Where is the d/t value in the equation ?