Consoles 845
solid, infinite, immovable, dependable ground. It has
many other names too: earth, 0 V, reference, chassis,
frame, deck, and so on, each of differing interpretation
but all, ultimately, alluding to the great immovable
reference.
Electrons could not care less about all this. They just
go charging about as potentials dictate; any circuit will
work perfectly well referred to nothing but itself. (Satel-
lites, cars, and flashlights work, don’t they?) Ground in
these instances is but an intellectual convenience.
Interconnection of a number of circuit elements to
form a system necessarily means a reference to be used
between them. To a large degree, it’s possible to obviate
a reference even then by the use of differential or
balanced interfacing, unless, of course, power supplies
are shared.
So, having proved that ground is seemingly only a
mental crutch, why is it the most crucial aspect of
system design and implementation?
25.8.1 Wire
Fig. 25-23A shows a typical, ordinary, long, thin length
of metal known more commonly as wire and occasion-
ally as printed-circuit track. However short it is, it will
have resistance, which means that a voltage will
develop across it as soon as any current goes down it.
Similarly, it has inductance and a magnetic field will
develop around it. If it is in proximity to anything, it
will also have capacitance to it.
So Fig. 25-23A actually looks more like Fig. 25-23B
with resistive and distributed reactive components.
Admittedly, these values are small and seem of little
significance at audio frequencies, but clues have already
been laid (particularly in Section 25.7 on op-amps) that
believing the world ends at 20 kHz is not so much
myopic as naive.
A radio engineer looking at Fig. 25-23B would
mumble things like “transmission line,” “resonance,” or
“bandpass filter,” maybe even “antenna.” RF tech-
nology and thinking may seem abstruse and irrelevant
to audio design until it is considered that active devices
commonly used nowadays have bandwidths often
dozens, sometimes hundreds of megahertz wide. An
even more frightening realization is the enormous quan-
tity of RF energy present in the air as a consequence of
our technological being; never mind the gigawatts of
broadcasting bombarding us, the proliferation of
walkie-talkies, cellular phones, and business radio all
beg mischief in our systems. It even comes from other
continents; the aggregate field strength of international
broadcasters clutched loosely around 6 MHz, 7 MHz,
10 MHz, and 15 MHz is truly phenomenal.
A more obscure collection of equivalents is shown in
Fig. 25-24. Fig. 25-24A represents a wire into a bipolar
transistor input; Fig. 25-24B shows a wire from a
conventional complementary output stage; and, for
reference sake, Fig. 25-24C shows a basic crystal-set
radio receiver. It may seem quaint, but for the presence
today of wildly more volts per meter RF field energy
compared to the heyday of wireless it works just the
same. In all the three circumstances, radio frequencies
collected and delivered by the antenna are rectified
(hence, demodulated and rendered audible) by a diode
(the base-emitter junctions in Figs. 25-24A and B). As
contrary as it may seem for demodulation to occur at an
amplifier output, it is perhaps the most common detec-
tion mechanism with the demodulated product finding
its way back to the amplifier input by means of the
conveniently provided bypassed negative feedback leg.
Making our length of wire fatter and thicker has the
effect of lowering the resistance and inductance while
increasing capacitance (greater surface area exposed to
things nearby). So, although the resonant frequency of
the wire stays about the same, the dynamic impedance
(hence, Q) reduces. Although in general this is deemed
Figure 25-23. What is a length of wire?
B. The wire actually has resistive and distributed
reactive components.
A. Long, thin length of wire.
Figure 25-24. A collection of equivalents.
Bipolar
input stage
A. A wire into a bipolar
transistor input.
Complementary
output stage
Feedback
B. A wire from a conventional
complementary output stage.
Antenna
Basic
crystal
set
Demodulated
audio out
C. A basic crystral-set receiver.