- #36
Phrak
- 4,267
- 6
I think your coordinate interpretation is as I intended. I can't read the subscrips for the B field.
Yes, where I said E_z, I should have said E_r.
You're picture of how you envision the fields looks good for the E field if the arrow length are intended to mean field strength. The E fields should extend until they find ground return somewhere in the enviroment. The B fields look a little funny as an envelope for the E fields stengths.
After all this I don't understand the ve+ and ve- notaton, sorry. But the instantanious voltage along the wire length is bothering me. It's the integral of the electric field, I think, so that the voltage would be out of phase with everything else. That doesn't seem right. Your equations have them in phase. I'm perplexed.
As you say, this is all about the secondary wave. The primary wave is the interesting part of it all, where the E field apparently has an axial component as you've stessed.
You probably recall that skin effect means that as the frequency increases the current is forced out of the center of the wire so that the bulk resistivity of the wire becomes more of an effect as frequency increase. So it will turn-out that finding how the secondary wave works will require the internal solution of one or both of the electric and magnetic fields inside the wire. If I don't miss my guess, this will lead to a nonanalytical equation, so your texts probably take the course of action of making approximations and dividing the full solution into parts: the primary and secondary waves, as you've called them.
Yes, where I said E_z, I should have said E_r.
You're picture of how you envision the fields looks good for the E field if the arrow length are intended to mean field strength. The E fields should extend until they find ground return somewhere in the enviroment. The B fields look a little funny as an envelope for the E fields stengths.
After all this I don't understand the ve+ and ve- notaton, sorry. But the instantanious voltage along the wire length is bothering me. It's the integral of the electric field, I think, so that the voltage would be out of phase with everything else. That doesn't seem right. Your equations have them in phase. I'm perplexed.
As you say, this is all about the secondary wave. The primary wave is the interesting part of it all, where the E field apparently has an axial component as you've stessed.
You probably recall that skin effect means that as the frequency increases the current is forced out of the center of the wire so that the bulk resistivity of the wire becomes more of an effect as frequency increase. So it will turn-out that finding how the secondary wave works will require the internal solution of one or both of the electric and magnetic fields inside the wire. If I don't miss my guess, this will lead to a nonanalytical equation, so your texts probably take the course of action of making approximations and dividing the full solution into parts: the primary and secondary waves, as you've called them.
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