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I'll repeat the question...as I have no idea who you are replying to Freecell, but make a guess it is me.


"By what means is V and I phase changing in a 1/4 wave by 90 degrees to make it purely resistive ? (compared to any other antenna)"


Your statement makes some sense as I recall what you say as Delta match based on this concept I recall from the exams. However why is current vs volts phase shifting along length of the elements ? I would say VF but this is unlikely as that is a constant along the element assuming it is the same material and width.



As we know V and I are NOT in phase, they are 90 degrees out of phase with respect to each other.


How come this is not so in a 1/4 wave or a 1/2 wave centre fed dipole ?


These 2 waves are not in phase they are 90 degrees out of phase and at any point remain 90 degrees out of phase with respect to each other.


https://www.electronics-notes.com/articles/antennas-propagation/dipole-antenna/current-voltage-waveforms-distribution.php


Cannot post the image alone, sorry.