WARNING: This post has been replaced with the following analysis and design:
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The Resonant Feedline Antenna is also known as:
• Sleeve Dipole (& Flowerpot Antenna)
• Resonant Feedline Dipole (J Taylor, W2OZH)
• Tuned Transmission Line Trap, T2LT (CB folks)
For more about common mode chokes, see this article:
Pictures of this experiment follow including the 10-25 MHz >8K choke follow.