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596 P a r t V I I : T u n i n g , T r o u b l e s h o o t i n g , a n d D e s i g n A i d<br />

Suppose the change calculated in Eq. (27.6) is –5 percent, i.e., the actual resonance<br />

point is 5 percent lower than expected. Shorten the dipole by perhaps 3 or 4 percent<br />

(split equally between the two sides) by folding the two ends back on the dipole and<br />

remeasure.<br />

It will be rare for a real antenna to have exactly 50-Â or 75-ÂW impedance, so some<br />

adjustment of R and C to find the deepest null is in order. You may be surprised how far<br />

off some dipoles and other forms of antennas can be if they are not in free space and<br />

instead are close to the earth’s surface or other conducting objects of comparable dimensions.<br />

Other Jobs for the Noise Bridge<br />

In addition to its antenna-Ârelated “chores”, the noise bridge can find utility in a variety<br />

of jobs around the radio shack. We can find the values of capacitors and inductors, determine<br />

the characteristics of series-Â and parallel-Âtuned resonant circuits, and find the<br />

velocity factor of coaxial cable, to name just a few.<br />

Transmission Line Measurements<br />

Some projects—such as the simple dipole tests and adjustment already described—<br />

require a feedline that is either a quarter-Âwavelength or a half-Âwavelength at a specific<br />

frequency. In other cases, a piece of coaxial cable of specified length is required for other<br />

purposes—for instance, the dummy load used to troubleshoot depth sounders is nothing<br />

more than a long piece of short-Âcircuited coax that returns the echo at a time interval that<br />

corresponds to a specific depth. We can use the bridge to find these lengths as follows:<br />

1. Connect a short circuit across the <strong>Antenna</strong> jack (J 1 ) and adjust R and X for the<br />

best null at the frequency of interest. (Note: Both will be near zero.)<br />

2. Remove the short circuit.<br />

3. Connect the length of transmission line to the same jack. (It might be wise to<br />

start with a length that is somewhat longer than the expected final length.)<br />

4. For quarter-Âwavelength lines, cut short lengths from the line until the null is<br />

very close to the desired frequency. (A l/4 line open-Âcircuited at the far end<br />

will appear to be a short circuit at the near end.) For half-Âwavelength lines, do<br />

the same thing, except that the line must be shorted at the far end for each trial<br />

length. (A l/2 line will repeat the termination of the far end at the near end.)<br />

As we saw in Chap. 4, we need to know the value of v F , the velocity factor, to calculate<br />

the physical length of a transmission line corresponding to any given electrical length.<br />

For example, a half-Âwavelength piece of coax has a physical length in feet of (492 × v F )/f<br />

when f is given in megahertz. Unfortunately, the real value of v F is often a bit different<br />

from the published value. The noise bridge can be used to find the actual value of v F for<br />

any sample of coaxial cable as follows:<br />

1. Select a convenient length of coax greater than 12 ft in length and install a PL-Â<br />

259 RF connector (or other connector compatible with your instrument) on one<br />

end. Short-Âcircuit the other end.<br />

2. Accurately measure the physical length of the coax in feet; convert the<br />

“remainder” inches to a decimal fraction of a foot by dividing by 12 (e.g., 32 ft

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