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Re: [TowerTalk] grounding (again)

To: <towertalk@contesting.com>
Subject: Re: [TowerTalk] grounding (again)
From: "Jeff DePolo" <jd0@broadsci.com>
Date: Mon, 23 Apr 2018 11:43:18 -0400
List-post: <mailto:towertalk@contesting.com>
> I'm using the formula from Rosa..That's quite a ways different.. what 
> formula are you using?

Grover.  I don't know how well this is going to come out in email without me 
making a typo, but...

Straight wire: Inductance = 2L * ln( (2L/D) * ( 1 + sqrt( 1 + (D/2L)^2 ) ) − 
sqrt( 1 + (D/2L)^2 ) + u/4 + (D/2L) )

Rectangle: Inductance = ( ln( 2L / (A+B) ) - ( 0.2235 ln( (A+B)/L ) + 1/2 ) ) * 
ur * L / (2 * pi) )

L = length
D = diameter
A,B = width/thickness
all in cm

For copper and other common non-ferrous conductors you can mostly ignore the 
terms involving permeability (i.e. set u to 0 and ur to 1).  Note that 
simplified inductance formulas are approximations only, and there will be 
differences in the results which, based on what I've read, tend to be most 
divergent at shorter lengths.

The inductance is also going to be affected by proximity to other objects.  In 
the instant case, with multiple conductors going through the same conduit, all 
bets are off as to the accuracy of any of these values which are based on the 
conductor being in free space.  

Numbers aside, my original point was that it wasn't until you got up to a very 
wide strap does it make a big difference in inductance.  When we build telecom 
and broadcast facilities, all of the underground bonding is done with #2 solid 
wire.  #2 stranded is the primary bonding conductor used internally between the 
master ground bar and equipment, as well as for the halo ground.  If the 
bonding conductor needs to be run across the floor to reach equipment (as is 
often the case in broadcast facilities with high ceilings) then we use strap.  
I think we're in agreement that the use of small-width copper strap doesn't 
afford any improvement in terms of protection, and due to the higher cost, 
really isn't worth it unless it is needed for some particular 
physical/mechanical constrait such as passing through a slim opening.  In the 
instant case, with both the cables and bonding conductor in the same 2" I.D. 
conduit, it doesn't make sense to me to use strap.

                                --- Jeff WN3A


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