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INDUCTORS, CAPACITORS, AND RESISTORS

Simply put inductors, capacitors, and resistors have inductance, capacitance,
and resistance. The problem is that all three electronic components have all
three properties. When designing a circuit for a speaker system, it is assumed
that inductors have only inductance, capacitors have capacitance, and resistors
have resistance. This is not true, and can cause major problems when designing
circuits.

For an example, look at a 1st order low pass Butterworth crossover at 100 Hz for
an 8 ohm speaker. The formula calls for a 12.75 mH inductor in series with the
driver. This value is based on the resistance of the driver and the crossover
point. A 12.75 mH inductor made from 18 gauge wire will have a resistance above
1.5 Ohms. This resistance is caused by the resistance of the copper wire. This
makes the resistance of the driver and circuit 9.5 Ohms. This change in
resistance will cause the 12.75 mH inductor to become a low pass crossover at
118 Hz instead of 100 Hz. Also, because the resistance of the driver and circuit
has increased, the amplifier will put out less power and this driver will not
play as loud.

This is just one example of what can happen. There are many others. There are
also several solutions. The simple solution is to accept it and forget it. Most
of the time, the effect will not be as bad as in the above example. It takes a
low crossover point to require a large inductor.

The second option is to factor this effect into your equations. A 15.6 mH
inductor has a resistance of approximately 1.8 Ohms. This is normally a 80 Hz
low pass crossover for a 8 Ohm driver, but for a 9.8 Ohm driver, it is a 100 Hz
low pass crossover. It will take several attempts to get the numbers to work
out, but it is possible. Remember that this does not help the problem with the
amplifier seeing a greater load. It actually made the problem worse.

The third option is to account for the effect in another component. A series
notch filter uses a capacitor, inductor, and resistor. If the inductor has a
resistance of 1 Ohm, then simply use a 1 Ohm smaller resistor than what is
called for. Refer to the Basic Electronics for information on how multiple
resistors work in the same circuit.

The final option is to use better quality electronic components, so that the
effect is minimized. For inductors, this is simple. Use a heavier gauge wire to
lower the resistance of the wire. You can wind your own inductors with any gauge
wire you want. Changing the coil size can also have a small effect on the amount
of wire needed, and the resistance. Iron core inductors use much less wire, but
at the cost of performance. They heat up easier, and then their inductance will
begin to change. For capacitors, there are several types that can be purchased.
The basic electrolytic capacitors are cheap, but do not pass high frequencies
well. Mylar capacitors pass high frequencies better, and have less inductance
and resistance. Polypropylene are even more expensive, but have the least
problems. It is suggested that you use Mylar or Polypropylene capacitors for
values less than 20 uF in the mid or tweeter section of the circuit. Otherwise,
use a non-polar electrolytic capacitor.

Resistors also have a wattage rating that determines how much power they can
handle. As a general rule, any resistor in series or in parallel with the driver
needs to be able to handle as many watts as the driver will see. A resistor in
line with a 100W driver needs to be rated at 100W. The only special case is
resistors used in a L-pad. For a L-Pad the two resistors should sum to the
wattage of the driver.

W1 = Wattage rating of 1st resistor in Watts

W2 = Wattage rating of 2nd resistor in Watts

R1 = Resistance of 1st resistor in Ohms

R2 = Resistance of 2nd resistor in Ohms

P = Power that the driver can handle in Watts



Example: A 6 dB pad for an 8-ohm driver driven by a 100 watt source calls for an
8 and a 4 ohm resistor. The required power rating of each resistor is
100*8/(8+4) = 66.6W and 100*4/(8+4)=33.3W Both of the resistor wattage ratings
add up to 100.


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