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marlowgs
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Is it correct to say that the energy in resistance and reactance components of a LR or RC series A.C. circuit are the same thing as the momentum energy and rest energy of a moving mass in special relativity?
marlowgs said:Is it correct to say that the energy in resistance and reactance components of a LR or RC series A.C. circuit are the same thing as the momentum energy and rest energy of a moving mass in special relativity?
marlowgs said:I’m reaching this conclusion because that the magnetic field is the relativistic effect of a changing electric field and visa versa.
The phase of electric and magnetic fields in pure momentum energy (photons) is in-phase as it is for the resistor. The energy is radiated away from the resistor but it stays with the moving mass. The energy in an inductor or capacitor is stored energy as it is for rest energy. Total energy is the vector sum of momentum energy and rest energy. Total energy for the resistor and inductor or capacitor is also the vector sum of the two.
ZapperZ said:Where did you get this from?
rumborak said:I don't think you can fault him for that one. I remember hearing it during my college days (this was before the age of internet, so I couldn't just google it), but now there's pages like this: http://en.wikipedia.org/wiki/Relativistic_electromagnetism
I must admit that I find that formulation to be mesmerizing too. I always felt that the E and B duality (one produces the other when changing) indicated that they're just the same thing really.
marlowgs said:A changing electric or magnetic field in LRC components comes down to relative movement of electrons in the components. The relativistic effect is more apparent because of the great number of electrons and their high velocity in the components.
ZapperZ said:No. Read up a bit on solid state physics. The electron speed in metals is VERY SLOW when compared to c. We do no relativistic corrections on charge transport in metals at all!
Zz.
marlowgs said:My mistake - electron velocity is very slow. But the great number of electrons makes the relativistic effect more apparent.
rumborak said:Even at the speeds observed in a conductor, the point is that you can describe the magnetic force as a relativistic effect on the electric field of the moving particle.
I hate linking to Wikipedia articles, but see here: http://en.wikipedia.org/wiki/Relativistic_electromagnetism#The_origin_of_magnetic_forces
marlowgs said:It doesn't increase the relativistic effect - just makes it more apparent. The relativistic effect is very small at low velocities (and ignored) but it still exists.
In a DC (direct current) circuit, the flow of electric charge is in one direction, while in an AC (alternating current) circuit, the flow of electric charge periodically reverses direction.
In an AC circuit, energy is constantly being transferred back and forth between the source and the load, as the current and voltage periodically alternate in direction. This is known as energy oscillation.
Relativity plays a role in AC circuits because the movement of electric charge is affected by the speed of light, which is a fundamental constant of relativity. This affects the behavior of energy and mass in AC circuits.
In AC circuits, the energy oscillation causes a periodic change in the electromagnetic field, which in turn creates a momentum transfer between the electric and magnetic fields. This is known as the Poynting vector and it plays a crucial role in the behavior of energy and mass in AC circuits.
Due to the energy oscillation and momentum transfer in AC circuits, there can be losses in the form of heat and electromagnetic radiation, which can affect the overall energy efficiency. In comparison, DC circuits have a more steady flow of energy and may be more efficient in certain applications.