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An important formula in physics is one that relates the speed of an EM wave (c for instance) with the magnetic permeability and electric permittivity of the medium. In short: - $$c = \dfrac{1}{\sq...
#3: Post edited
by
Andy aka
·
2023-12-30T16:07:31Z (12 months ago)
- An important formula in physics is one that relates the speed of an EM wave (c for instance) with the magnetic permeability and electric permittivity of the medium. In short: -
- $$c = \dfrac{1}{\sqrt{\epsilon\cdot\mu}}$$
- Where \$\epsilon\$ is the absolute value of permittivity of the medium and, \$\mu\$ is the same but for magnetic permeability. The formula is "given" to us (as mere engineers) but, I'm wondering if anyone can show how we might derive this formula using EE skills?
$$$$Maybe a valid starting point are the formulas for inductance and capacitance (because they incorporate \$\mu\$ and \$\epsilon\$)? Maybe, there are other "starting points" that lead to an "engineering" proof that the speed of an EM wave is as per the top formula?
- An important formula in physics is one that relates the speed of an EM wave (c for instance) with the magnetic permeability and electric permittivity of the medium. In short: -
- $$c = \dfrac{1}{\sqrt{\epsilon\cdot\mu}}$$
- Where \$\epsilon\$ is the absolute value of permittivity of the medium and, \$\mu\$ is the same but for magnetic permeability. The formula is "given" to us (as mere engineers) but, I'm wondering if anyone can show how we might derive this formula using EE skills?
#2: Post edited
by
Andy aka
·
2023-12-21T14:11:47Z (about 1 year ago)
#1: Initial revision
by
Andy aka
·
2023-12-21T12:26:59Z (about 1 year ago)
Speed of EM waves from the point of view of an electrical engineer
An important formula in physics is one that relates the speed of an EM wave (c for instance) with the magnetic permeability and electric permittivity of the medium. In short: -
$$c = \dfrac{1}{\sqrt{\epsilon\cdot\mu}}$$
Where \$\epsilon\$ is the absolute value of permittivity of the medium and, \$\mu\$ is the same but for magnetic permeability. The formula is "given" to us (as mere engineers) but, I'm wondering if anyone can show how we might derive this formula using EE skills?
$$$$
Maybe a valid starting point are the formulas for inductance and capacitance (because they incorporate \$\mu\$ and \$\epsilon\$)? Maybe, there are other "starting points" that lead to an "engineering" proof that the speed of an EM wave is as per the top formula?