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Re: Topband: Bead balun waterproofing

To: topband@contesting.com
Subject: Re: Topband: Bead balun waterproofing
From: Jim Brown <jim@audiosystemsgroup.com>
Reply-to: jim@audiosystemsgroup.com
Date: Sun, 18 Aug 2013 23:28:23 -0700
List-post: <topband@contesting.com">mailto:topband@contesting.com>
On 8/18/2013 9:41 PM, MU 4CX250B wrote:
I agree that strings of ferrite beads don't present a lot of inductive
reactance on the low HF bands, but you lost me with your comment about
the reactance canceling the capacitive reactance of the cable. I've
not thought about this deeply, but it seems to me the cable
capacitance is differential, between the center conductor and the coax
braid.

You're confusing the differential circuit with the common mode circuit. A choke is in the common mode circuit, but not the differential circuit. In the common mode circuit, the feedline is a longwire antenna -- it's that current on the outside of the shield in the commonly discussed diagram. An antenna shorter than a quarter wave looks capacitive, longer than a quarter wave looks inductive, and that repeats in increments of half waves.

There's a simple analysis of this in my AES paper, and in several tutorials on my website. When I did literature search for the AES paper, I found app notes by major EU ferrite mfrs from'50's/'60s that made it clear that they understood this (because of the advice they gave), although the concept was not directly stated.

If you doubt this, build a simple NEC model with a short feedline and an inductive choke and compare currents with and without the choke. W7EL's manual for EZNEC discusses how to model the common mode behavior of a transmission line, and you insert the circuit model of the choke as a load in that line.

Think about this -- a common method of matching a vertical antenna to 50 ohm line is to make it a little long so that it's 50 +j xxx, then tune out jxxx with -jxxx ( a series cap). I'm doing this with one of my 160M TX antennas, and I'm doing the opposite with a 160 antenna that's a bit short, adding a bit of L at the base. In both cases, adding the reactance lowers the impedance of that antenna, and that's what an inductive choke does in a capacitive (short) line. And when we lower the common mode Z, we increase the common mode current, which is the opposite of what we want to achieve.

73, Jim K9YC


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