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rf - Free and Open Source Software

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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 />

'0<br />

' 0<br />

' 0 ,<br />

' 00<br />

' 0 0<br />

' 00<br />

' 00<br />

' 00<br />

"" "<br />

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' 0<br />

00 0 '<br />

' 0<br />

' 0<br />

'0<br />

s<br />

•<br />

r<br />

e<br />

, 5<br />

•<br />

ș<br />

O.<br />

50 0 5<br />

' 0<br />

O.<br />

0 '<br />

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o.<br />

0' ,<br />

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e<br />

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,<br />

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

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