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Part 15 AM "Ground Leads"

By definition, at least one end of a "ground lead" must connect to ground.

Unfortunately a true r-f ground does not exist at the top of a long, vertical conductor connected to one or more buried conductors at its base.

Below is a chart showing how for other things equal, the groundwave field intensity of a Part 15 AM setup at 1 mile varies with the length of vertical conductor used between the end of the ground lead, and a buried ground rod.

The conductor lengths were chosen to cover the range of systems from one fully compliant with FCC §15.219(b) to those where the transmitter and whip are elevated up to 10 meters (32.8 feet) above the earth. A standard 8-foot long ground rod was used. The length of the whip antenna was 102 inches. Earth conductivity was set to "average."

The transmitter power was set to that possible from a transmitter having a Class E final amplifier capable of driving this load resistance with 90% d-c input to r-f output efficiency when adjusted to meet FCC §15.219(a).

The fields shown in the chart can be modified for other output powers by multiplying them by the SQRT(Other Output Power in mW/90).

The field improvement at 1 mile for the system shown in the chart at 10-meter elevation is better than 5:1 compared to the system using only a 0.4-meter conductor length to the ground rod.

The system at zero elevation would need more than 25 times that 90 mW transmitter power to produce the same ~ 170 µV/m field at 1 mile as the system elevated 10 meters.

Also note that the system compliant with FCC §15.219 produces a higher groundwave field at one mile than is permitted at 30 meters for this frequency by §15.209.

I know I've posted such information in the past, but new questions continue to appear, so I keep responding to them -- hopefully in a way that better explains this subject.


Field_vs_Length_of_Conductor_to_Gnd_Rod.jpg
 
What is the difference in field intensity between the zero length conductor to ground and using a 118" whip with no ground? I disconnected the ground from my AM1000 & the tuning didn't change nor did the apparent signal strength. This is an elevated installation. I find myself questioning the need for a ground, given that I can tell what song is playing almost 2 miles away.
 
Might an unrecognized path via a long conductor leading down from the chassis of the elevated transmitter be adding to the length of the "whip" attached to the r-f output of the transmitter?
 
What is the difference in field intensity between the zero length conductor to ground and using a 118" whip with no ground?...

Here is a NEC4 calculation showing the groundwave field at 2 miles of a Part 15 AM transmitter delivering 50 mW at the output of the r-f amplifier, where the transmitter is powered by an on-board d-c supply.

The "Comment" section on the graphic lists other details.

A very good AM receiver and very low ambient r-f noise would be needed for this ~24 µV/m signal to be useful.

PT15_AM_No_Gnd_Conn.jpg
 
Here is a NEC4 calculation showing the groundwave field at 2 miles of a Part 15 AM transmitter delivering 50 mW at the output of the r-f amplifier, where the transmitter is powered by an on-board d-c supply.

The "Comment" section on the graphic lists other details.

A very good AM receiver and very low ambient r-f noise would be needed for this ~24 µV/m signal to be useful.

PT15_AM_No_Gnd_Conn.jpg
I replied earlier but it didn't seem to take. Thanks kindly for your insight into what's theoretically possible.....info that isn't typically available to the common man :) Do I read the comparison correctly that a 102" whip with radials at 1 mile will produce 30uv yet a 118" whip with no ground will yield 24uv at 2 miles? If so, would that translate to 96uv at 1 mile? If this is the case, the ground system's importance seems to be of minimal value--unless all of that "gain" can be attributed to the extra 16" of antenna.
 
... Do I read the comparison correctly that a 102" whip with radials at 1 mile will produce 30uv yet a 118" whip with no ground will yield 24uv at 2 miles? If so, would that translate to 96uv at 1 mile? If this is the case, the ground system's importance seems to be of minimal value--unless all of that "gain" can be attributed to the extra 16" of antenna.

Digging into the details:

The system at earth level with the 102" whip (in my 1st graphic linked above) produced about 30 µV/m at 1 mile, which at 2 miles would be less than 15 µV/m due to the additional path loss. It also was calculated for 90 mW of r-f power at the input to the loading coil, and an earth conductivity of 5 mS/m. That system had 78 ohms of resistance in the ground rod (not buried radials), plus 15 ohms in the coil for a total of 93 ohms of system loss.

The elevated system in my 2nd graphic (using no connection to the earth) was calculated for 50 mW of r-f power at the input to the loading coil, earth conductivity of 8 mS/m, and 35 ohms of coil R. There is no ground R as there is no connection of that system to an earth ground.

So, even though the 2nd system was set to less r-f power at the coil input, it produced a greater field at 2 miles because of the reduced resistive losses in that elevated system, and the higher earth conductivity modeled.

Other issues are involved too, such as the r-f bandwidths of the two systems, their ease of tuning, and tuning stability -- which would not favor the 2nd system.

A groundwave field of 24 µV/m at 2 miles does not translate into 96 µV/m at 1 mile (perfect ground plane). Over perfect ground planes and in the far field of the antenna system, groundwave field intensity increases directly with decreasing distance. It is power density (W/cm^2) that is related to the square of decreasing distance.
 
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Missing Chart

From the opening post -

... Below is a chart showing how for other things equal, the groundwave field intensity of a Part 15 AM setup at 1 mile varies with the length of vertical conductor used between the end of the ground lead, and a buried ground rod. ...

The chart referred to in the opening post of this thread "went missing," so here it is again:

Field_vs_Length_of_Conductor_to_Gnd_Rod.jpg
 
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