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" " I know a whole lot, about nothing--
but a lilte bit, about some things " "
Pikesville Squirrel
" SQUIRREL'S SONG "
Four Main Classes of Amplfiers
What are they ? How do they work ?
Well I don't know or I didn't know.
But I do know someone who does.
His name is : Archie A Anderson and this is what he said.
" The first thing you need to know about are the different parts of the sine wave. When you have an AC signal moving in a wire, to begin with the electrons are stationary than they begin to move in one direction they build to their peak than slow to a stop and begin to move in the opposite direction built
to a peak then they slow to a stop. This describes one complete cycle. If you were to attach a pen to the bottom of a pendulum and move paper at a constant rate under it ( like a strip recorder ) the pendulum at rest would be 0 volts. As it swung it would draw a sine wave. 0 volts would be the beginning or 0 degrees. the first or
positive peak would be 90 degrees as it crossed 0 volts again that be 180 degrees and the second or negative peak would be 270 degrees. As the sine wave drops back to 0 volts it ends at 360 which is also 0 degrees for the next cycle. If we pick different points on the sine wave and describe in terms of degrees, we are in fact taking
about different points in time. For example if we look at 45 Degrees we are discribing the point that is halfway between 0 and 90 degrees. If the voltage is +10 volts at 90 degrees than the voltage at 30 degrees would be 5 volts and the voltage at 45 degrees is 7.07 volts. The sine wave in fact is based on the voltage induced in
a coil rotating in a stationary magnetic field. The reason for all this explanation is that the class of operation or an amplifier has everything to do with how many degrees of a sine wave, do the devices in question turn on and conduct.
There are four main classes of amplfiers. There are other classes out there but thats a different subject, for a different day. The four main classes of amplifier are Class A, Class AB, Class B, and Class C.
Class A : this means that the device in question for 360 degrees of the sine wave. It never turns off. It has to be biased so that its idling current is half way between
its maximum out and its minimum out. As such you can imagine that these amps run rather hot.
Class AB: This means that the amplifier conduct more than 180 degrees but less than 360 degrees. In this class of amplifier, it might for example, conduct at 0 degrees though
225 degrees. at 225 degrees it would enter cutoff and stop conducting. it would turn back on at 315 degrees and stay on to 360 degrees, the end of the cycle.
so the amplifier would conduct for 270 of the 360 degrees of a sine wave.
Class B: This means that the amp conducts for exactly 180 degrees. For example a class b amp would
conduct only the positive half of a sine wave and remain off during the negative half. or vise versa.
Class C: This means that the amp conducts for less than 180 degrees. For example, a class C amp might begin conducting at
45 degrees and shut off again at 135 degrees meaning that it was on for only 90 degrees.
Class A gives the best linearity and class C gives the worst. Where things get a little strange is when you type or the topology of the amplifier combined with the class.
Most of the pills amps discussed in this forum are push pull type amps, which means the the amp has 2 halves that are mirror images of each other. One half handles the positive (0 to 180 degrees) half of the
sine wave and the other half covers the negative (180to 360 degrees) Half of the sine wave. You can have the each half of the amp running class B and have the whole circuit behaving as though it was a class A amp.
Basically you add the angle of conduction for each half of the amp to get the class for the whole. This is a very simple view. There is more to it than that but, you get the idea. In the case of pill amps often
each half is running class c, maybe conducting 150 degrees. but when you add the halves together, the amp conducts for around 300 degrees. that puts you well into class AB which gives pretty good linearity.
at least for voice.
If you see a number following the class that goes back to the days of tubes. That refers to if, by design you allow the grid to conduct current or not. For example Class AB-1 does not allow grid current and
is much more linear than class AB-2 which does allow grid current and can produce a lot more power although at much higher distortion. "
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Sine Wave
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The sine of an angle
in a right triangle is defined as the ratio between the opposite side
and hypotenuse. In the table below you see the values of sine for
all even angles from 0 to 90 degrees. Most of the time the sine of
an angle ends up being an irrational
number, so the values in the table are actually just rounded values to
six decimal places. Sometimes, though, the sine of an angle is
not an irrational number but a rational number. Can you spot
a couple of special angles where the sine of the angle is a rational
number?
| Angle |
Sine of angle |
|
Angle |
Sine of angle |
|
Angle |
Sine of angle |
0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 |
0 0.034899 0.069756 0.104528 0.139173 0.173648 0.207912 0.241922 0.275637 0.309017 0.34202 0.374607 0.406737 0.438371 0.469472 0.5 |
32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 |
0.529919 0.559193 0.587785 0.615661 0.642788 0.669131 0.694658 0.71934 0.743145 0.766044 0.788011 0.809017 0.829038 0.848048 0.866025 |
62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 |
0.882948 0.898794 0.913545 0.927184 0.939693 0.951057 0.961262 0.970296 0.978148 0.984808 0.990268 0.994522 0.997564 0.999391 1 |
This data gives us 46 pairs of numbers. Each number pair
corresponds to a single point on the coordinate plane. In each case,
the x-value is the angle, and the y-value is the sine of
that angle.
This is how it looks like when those 46 dots are plotted. It's
the start of the familiar sine wave form!
If you plotted more points, the graph would look
more continuous. Or you could connect the existing points with
lines. That's exactly what a scientific calculator does: it
calculates a certain number of points, and connects those with lines.
In this table are the same values for the sine of angle, and the same
angles, but the angles are measured in radians, which is usually the
default way of measuring angles in calculators. The graph produced
looks the same.
|
Angle (radians) |
Sine of angle |
|
Angle (radians) |
Sine of angle |
|
Angle (radians) |
Sine of angle |
0.000 0.035 0.070 0.105 0.140 0.175 0.209 0.244 0.279 0.314 0.349 0.384 0.419 0.454 0.489 0.524 |
0 0.034899 0.069756 0.104528 0.139173 0.173648 0.207912 0.241922 0.275637 0.309017 0.34202 0.374607 0.406737 0.438371 0.469472 0.5 |
0.559 0.593 0.628 0.663 0.698 0.733 0.768 0.803 0.838 0.873 0.908 0.942 0.977 1.012 1.047 |
0.529919 0.559193 0.587785 0.615661 0.642788 0.669131 0.694658 0.71934 0.743145 0.766044 0.788011 0.809017 0.829038 0.848048 0.866025 |
1.082 1.117 1.152 1.187 1.222 1.257 1.292 1.326 1.361 1.396 1.431 1.466 1.501 1.536 1.571 |
0.882948 0.898794 0.913545 0.927184 0.939693 0.951057 0.961262 0.970296 0.978148 0.984808 0.990268 0.994522 0.997564 0.999391 1 |
Now you might ask, "Doesn't the graph continue? What about angles
that are greater than or equal to 90 degrees? I can't even draw a
right triangle that would have a 91 degree angle (not even one with 90
degrees)."
You are right. You can't draw a right triangle with a 90 or 91 or
200 degree angle. That's where the right-triangle definition of sine
comes to its limit, and that's where the unit circle and radians
that you see in math books come into play. With the unit circle,
one can define sine and other trigonometric functions for all kinds of
angles, and using that definition, one can then draw the graph of sine
function further and get the familiar wave:
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Here is some more fine points on the subject by Mr.Archie A Anderson :
" The period from 90 to 180 degress is a mirror image of the period from 0 to 90 degrees, also the period from 270 to 360degrees is a mirror
image of the period from 180 to 270 degrees. if you know the peak voltage of a sine wave you can determine the voltage at any point of the wave
with the formula :( peak voltage) X (sine of NN degrees)
If we have a peak voltage of say 100 volts and you want to find
the voltage at say 50 degrees. you first find the sine of 50 degrees. my old hp calculator
says that its .766. so you mulitply 100 by .766 which is of course 76.6 volts. "
" To answer your question regarding why a sine wave is ar 50% at 30 degrees, it would sure help to have some clip art to attach but, alas I have none.
The short answer is even though it more or less looks like a straight line from 0 volts going up to a curve at the top near 90 degrees, its not. its actually a curve.
A sine wave is based on the voltage induced in a coil rotating in a stationary magnetic field and as such the voltages do not raise and fall linearly.
The sine wave has certain properties some of which are you will be at 50% of peak value at 30, 60,210, and 330degrees. you will be at 70.7% of peak value
at 45, 135, 225, and 315 degrees. Peak value will occur at 90 and 270 and 0 volts will be passed at 0and 180 degrees. Remember that your peak value may be
a possitive or negative voltage. These are just the features that define a sine wave If the wave being measured doesn't meet these conditions than its not
a true sine wave. The interesting thing about a sine wave is that the measured voltage at 45 degrees is the rms voltage of the sine wave.
Because the voltage is raising and falling in a sine waveit doesn't do the amount of work that the same peak voltage would. if you had a sine wave
that had a peak voltage of 10 volts, it would not do the same work as 10 volts dc. It would do 7.07 volts of work. For example if you used this signal to
heat a piece of wire the 10 sine peak sine wave would get as hot as putting 7.07 volts dc through the wire. the peak to peak voltage for this sine wave
would be 20 volts the peak to peak voltage is the voltage measured from the peaks at 90 and 270 degrees. This doesn't mean much in terms of how much work
its doing but, its important to know this for the maximum working voltage of the components used in the circuit and for how strong the insulation used
for the wire has to be. in the case of wall current your rms voltage is around 120 volts your peak voltageis about 168 volt and you peak to peak voltage
is 336 volts. that means that the insulation for household wire should be able to withstand 340 volts before it lets the electricity arc through.
This is why most household wiring is tested for 600 volts just to be on the safe side. "
Hey Archie, Many thanks for all the hard work : Squirrel(Cecil Johnson)
Amplifier Classes of Operation
Amplifier operation is distinctly different depending on the class of operation.
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