Dividing network is another name for a crossover
network used to separate and direct parts of the audio frequency band to specific speakers  bass, midrange,
and tweeter, for example. It is the audio equivalent of a diplexer or multiplexer filter in the RF and
microwave realm. As with many other aspects of consumer electronics, there was a time when many audiophiles
chose to design and/or build their own crossover networks for homebuilt speakers. Although never really
a bona fide audiophile, I did design and build my own custom speaker cabinets and the crossover network.
The woodwork was done at the
woodshop at Robins Air
Force Base while I was serving in the USAF as an Air Traffic
Control Radar Repairman (not an air traffic controller). I don't know if is still the case, but
back then most large bases had hobby and craft establishments for woodworking and metalworking, ceramics,
artistic painting, and even electronics benches. To the left is the only photo I have of one of the
speakers, which have since been sold (my son, Philip, is retrieving his Easter
basket which was hidden behind it  circa 1988  while attending
U. of Vermont and living in a trailer park).
My units each had three speakers and a homemade LC crossover network. Admittedly, no real science went
into the electrical design; I adjusted the inductor and capacitor values until everything sounded 'about
right.' All the components, including the individual speakers and speaker cloth, were purchased at the
downtown Radio Shack.
Dividing Networks
By Harold Renne
Technical Editor. Radio & Television News
This is an interior view of an RCA type of dividing network for theater use. The
crossover frequency is 400 c.p.s.
A twospeaker system using a tweeter and a woofer has many advantages over a single speaker system.
Because of the difficulty in manufacturing a speaker with a single cone assembly which will satisfactorily
reproduce both the extreme low and extreme high audio frequencies, it has become rather common practice
to use a dual speaker system for highquality installations. In such installations, a lowfrequency
speaker, or woofer, is used which is designed primarily to satisfactorily reproduce low frequencies,
and a high frequency speaker, or tweeter, is used which is designed for the high frequencies.
It is desirable in systems of this nature to "sort out" the low frequencies from the high frequencies
and apply each to the proper speaker. A network for performing this function is called a dividing network,
and the point at which the frequency division takes place is called the crossover frequency. This is
the frequency at which the two speakers receive equal amounts of energy.
Fig. 1  Schematic of a simple dividing network which will operate quite satisfactorily.
Experience has indicated that a dividing network should have an attenuation beyond the crossover
frequency of from 6 to 12 db. per octave. This may be accomplished with fairly simple networks. Two
types of circuits may be used: the filter network and the constantresistance network. Both have advantages
and disadvantages, and both will be discussed.
Fig. 2 shows parallel and series filter dividing networks, made up of halfsection elements of the
socalled mderived type. Full section elements could be used, giving an attenuation of 18
db. per octave beyond the crossover frequency, but the slight improvement in operation is not worth
the additional cost and losses involved. With extreme care in design, a dividing network may introduce
as little as 0.5 db. power loss, but even this can become appreciable when high powers are involved.
For example, at a power level of 100 watts, a 0.5 db. loss represents a power loss of about 11 watts.
The equations in Fig. 2 indicate how the condenser and inductance values may be determined. The value
of R_{o} indicates the impedance of each of the speakers and the input impedance to the network.
The crossover frequency f_{c} is determined by the speakers used and should be as low
as possible. Each speaker should be able to contribute appreciably to the sound output at least onehalf
octave beyond the crossover frequency.
The filtertype dividing network is somewhat more versatile than the constantresistance type and
has slightly better transmission characteristics in both the transmission and attenuation bands. It
does not lend itself readily to massproduction techniques, however, as two different values of inductance
and capacity are required.
Some typical commercial dividing networks. (A) RCA network with 400 cycle crossover
for theater use. (B) Brociner Electronics constantresistance network with 500 cycle crossover and an
attenuation of 12 db. per octave. (C) Circuit used by Stephens Mfg. Co. to give an attenuation of 12
db. per octave and a crossover of 600 cycles. (D) University Loudspeakers. Inc., network with 600 cycle
crossover frequency.
Both the parallel and series type of networks are effective, but listening tests seem to favor the
series type (Fig. 2B).
It might be instructive to calculate a typical dividing network on the basis of the circuit and equations
given in Fig. 2. For the reasons given before, we will choose the series type for our calculations.
A typical value for the speaker and input impedances would be 8 ohms, and the crossover frequency will
be chosen as 800 cycles. Substituting these values in the proper equations gives the following constants
for the network:
L_{2} = 1.6 mhy. C_{3}
= 40 μfd.
L_{3} = 1.0 mhy. C_{1}
= 25 μfd.
The inductances should be wound with fairly heavy wire on a nonmagnetic coil form, such as wood.
An inductance bridge is very helpful in obtaining the correct values. The coils should be mounted with
their axes perpendicular to avoid mutual coupling. The condensers must not be of the electrolytic type,
but they may be paper or oilfilled. Some condensers available on the surplus market would be suitable.
Observers report that the calculated values of inductance and capacity may be varied as much as 25%
without any appreciable effect on reproduction as judged by listening tests.
The constantresistance type of dividing network is shown in Fig. 3. It will be noted that for a
given network, the values of the two inductances and the two condensers are the same, making this unit
easier and cheaper to build on a production basis. When properly designed, this network is equally as
effective as the filter type. It has the theoretical advantage of presenting a constant load to the
source at all frequencies, but the wide variation in impedance of the voice coils with frequency tends
to defeat this advantage.
Either of the networks shown will give an attenuation of about 12 db. per octave beyond the crossover
frequency and will introduce a power loss of between 0.5 and 1 db. An attenuation of 18 db. per octave
may be obtained by the use of π or T sections instead of L sections, but such attenuation is not
essential, and, as with the filter type, the additional power loss resulting from introducing the additional
components more than outweighs any advantage that might be obtained.
Fig. 2  (A) Parallel and (B) series filter dividing networks made up of halfsection
elements.
As an example of a typical seriestype constant resistance dividing network (Fig. 3B) let us take
the same conditions as before, namely, R_{o} = 8 ohms, f_{c} = 800 cycles.
This gives values for L_{2} of 1.1. mhy. and C_{2} of 31 μfd.
A much simpler dividing network than those described above is frequently used. This network is shown
in Fig. 1 and consists simply of a 2 μfd. condenser in series with the voice coil of the tweeter.
The inductance of the woofer voice coil is appreciable, and its impedance rises with frequency. The
inductance of the tweeter voice coil is relatively small, so the impedance of the condenservoicecoil
series combination decreases as the frequency increases. These two effects tend to cancel each other,
giving a fairly constant impedance.
In the above discussion, we have ignored the fact that the tweeter speaker is, in general, more efficient
than the woofer. This would tend to give an unbalanced output with excessive high frequencies. For this
reason, an attenuator is usually placed in the tweeter circuit to compensate for this increased efficiency.
We have assumed in our dividing network calculations that the voice coil impedance of the tweeter
and of the woofer were' the same. If such is not the case, the problem is considerably more complicated.
If the tweeter voice coil impedance is higher, it may be shunted by a resistor, within limits, to bring
the impedance down to the correct value. For example, if the woofer has an 8 ohm impedance and the tweeter
is rated at 16 ohms, a 16 ohm resistor may be connected in parallel with the tweeter to bring the total
impedance down to 8 ohms. Half of the highfrequency power is lost in this resistor, but the higher
tweeter efficiency may make up for this loss.
Fig. 3  (A) Parallel and (B) series constant resistance dividing networks made up
of L sections.
The above discussion has assumed that the dividing network is placed between the output transformer
and the speakers. It is entirely possible to place this network in the center of the amplifier and then
use separate power amplifier stages for the low and high frequencies. The network may be somewhat simplified
since the value of R_{o} may be greatly increased and since power loss in the network is no
longer a vital consideration. These advantages may be overcome by the additional cost and complexity
of the two separate power amplifier channels, but this system has been used with marked success in a
commercial amplifier manufactured in England.
Another possibility is to place the dividing network in the plate circuit of the output stage, and
then to use separate matching transformers for the high and low frequency speakers. This permits matching
the network to any speaker impedance, and because the network is in a high impedance portion of the
circuit, more convenient values of inductance and capacity are possible. At least one company using
this latter system reports highly satisfactory results.
With good woofer and tweeter speakers, proper enclosures, and a suitable dividing network, frequency
response from 50 to 15,000 cycles can be readily achieved.
Posted January 11, 2017
