Discussion
How does the radiation resistance of a short dipole vary with its length?
Answer: C
Radiation resistance rises as the square of the length measured in wavelengths, so halving a short antenna quarters its radiation resistance while its loss resistance falls barely at all. That is the whole difficulty of small antennas expressed in one relation. The same square law means that raising the frequency of a fixed physical antenna improves its radiation resistance rapidly, which is why a whip that is hopeless at one frequency can be efficient an octave higher.
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