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A.,E. McGee. Jr., KSLLJ<br />
2815 Ma rerhorn Drive<br />
Dallas, Texas 75228<br />
n-« To TUlle A<br />
Circuit<br />
In these days of intricate <strong>and</strong> relatively<br />
inexpensive commercial radio equipment,<br />
home building of ham gear is not so co rnmon<br />
as it used to be. However, a great deal<br />
of pleasure <strong>and</strong> satisfaction may still be had<br />
from the designing <strong>and</strong> building of simple<br />
receivers, co nverters, etc., even if you never<br />
intend to actually use them on the air.<br />
One fairly critical part of most simple<br />
projects is the tuning circuit. At frequencies<br />
through the VHF region, a tuning circuit<br />
usually consists of an inductor (coil) <strong>and</strong> a<br />
variable capacitor, which is adjustable over a<br />
reasonably wide range. It is easy to find, by<br />
the trial <strong>and</strong> error method, some combination<br />
of inductance <strong>and</strong> capacitance that will<br />
tune to the desired frequency. The trouble<br />
usually begins when you try to b<strong>and</strong>-spread<br />
the circuit; that is, to make the entire tuning<br />
range of the variable capacitor cover only<br />
the desired frequency range. This frequency<br />
range may be only several hundred kilohertz<br />
wide, such as an amateur b<strong>and</strong> or a shortwave<br />
broadcast b<strong>and</strong>,<br />
This article will attempt to illustrate the<br />
problems involved, <strong>and</strong> how to solve them<br />
by the use of a grid-dip oscillator <strong>and</strong> some<br />
simple charts <strong>and</strong> formulas. First, however, a<br />
few words about circuit theory may be in<br />
order.<br />
An inductor or a capacito r will oppose<br />
the flow of an alternating current. This<br />
property is called reactance, <strong>and</strong> differs from<br />
resistance in that the current through the<br />
reactance is 90 degrees (or one-quarter<br />
cycle) out of phase with the voltage. In an<br />
inductor the current lags the voltage by 90<br />
degrees, <strong>and</strong> in a capacitor the current leads<br />
the voltage by 90 degrees. The amount of<br />
reactance is determined by the value of<br />
inductance or capacitance, <strong>and</strong> by the frequency<br />
of the alternating current. Inductive<br />
reactance increases with an increase in frequency,<br />
while capacitive reactance decreases<br />
with an increase in frequency.<br />
When an inductor <strong>and</strong> a capaci tor are<br />
connected, either in series or parallel, there<br />
will be one frequency at which their reactunces<br />
arc equal. Since the inductive reactance<br />
causes a current lag of 90 degrees, <strong>and</strong><br />
the capacitive reactance causes a current lead<br />
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r<br />
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Fig. 1. Resonant frequency c h a r t . By laying<br />
a straight edge across two known quantities.<br />
the third can be determined.<br />
5<br />
•<br />
of 90 degrees, the reactances cancel each<br />
other, <strong>and</strong> the circuit is said to be in<br />
resonance. The series resonant circuit offers<br />
a very low resistance to the flow of alternating<br />
current at the resonant frequency,<br />
<strong>and</strong> the parallel resonant circuit offers a very<br />
high resistance to the flow of alternating<br />
current at the resonant frequency.<br />
The frequency of resonance may be<br />
found by using the formula :f=21Tk with fin<br />
Hertz, L in Henrys, <strong>and</strong> C in Farads, A<br />
simpler method is to use a chart like the o ne<br />
in Fig. I, By laying a straight edge across<br />
two known values, the other quantity may<br />
easily be found. Charts covering a wide<br />
frequency range may be found in Allied's<br />
Electronic Data H<strong>and</strong>book <strong>and</strong> other similar<br />
publications. There is also a chart on page 70<br />
of the August 1967 issue of 73 Magazine.<br />
Let us say that you wish to build a circuit<br />
that tunes from 7.0 MH z to 7.3 Mllz. You<br />
have a variable capacito r from the junk box<br />
that you wish to use, a few surplus coils with<br />
unknown inductance values, <strong>and</strong> an assortment<br />
of small fixed capacitors. You also<br />
must have a calibrated grid-dip oscillator.<br />
In order to find the capacitance of the<br />
variable capacitor, you will first need a<br />
known value of inductance. Pick a likelylooking<br />
co il from the junk box, or wind one<br />
by guess or by using a coil winding chart.<br />
The chart found in Allied 's Electronic Data<br />
MAY 196 9 123