What if we have two plates which are not directly opposite one another,
like those of Fig. 44? What does the capacity depend upon? Imagine
yourself an electron on the negative plate. Look off toward the positive
plate and see how big it seems to you. The bigger it looks the more
capacity the condenser has. When the plates are right opposite one
another the positive plate looms up pretty large. But if they slide
apart you don't see so much of it; and if it is off to one side about
all you see is the edge. If you can't see lots of atoms which have lost
electrons and so would make good homes for you, there is no use of your
staying around on that side of the plate; you might just as well be
trying to go back home the long way which you originally came.
That's why in a variable plate condenser there is very little capacity
when no parts of the plates are opposite each other, and there is the
greatest capacity when they are exactly opposite one another.
[Illustration: Fig 45]
While we are at it we might just as well clean up this whole business of
variable capacities and inductances by considering two ways in which to
make a variable inductance. Fig. 45 shows the simplest way but it has
some disadvantages which I won't try now to explain. We make a long coil
and then take off taps. We can make connections between one end of the
coil and any of the taps. The more turns there are included in the part
of the coil which we are using the greater is the inductance. If we want
to do a real job we can bring each of these taps to a little stud and
arrange a sliding or rotating contact with them. Then we have an
inductance the value of which we can vary "step-by-step" in a convenient
manner.
Another way to make a variable inductance is to make what is called a
"variometer." I dislike the name because it doesn't "meter" anything. If
properly calibrated it would of course "meter" inductance, but then it
should be called an "inducto-meter."
Do you remember the gang of boys that fellow had to drive off his
property? What if there had been two different gangs playing there? How
much trouble he has depends upon whether there is anything in common
between the gangs. Suppose they are playing in different parts of his
property and so act just as if the other crowd wasn't also trespassing.
He could just add the trouble of starting one gang to the trouble of
starting the other.
It would be very different if the gangs have anything in common. Then
one would encourage the other much as the various boys of the same gang
encourage each other. He would have a lot more trouble. And this extra
trouble would be because of the relations between gangs, that is,
because of their "mutual inductance."
Public-domain text, read in full here on John Shaqi.
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