=431. Voltage Relation in a Transformer.=--In the experiment described
above, a bell was rung by an induced current produced in the secondary
coil. The induced e.m.f. was less than the voltage of the primary coil
partly because there was some magnetic leakage, but mainly because
there were fewer turns of wire on the secondary. In a commercial
transformer the magnetic leakage is practically zero. In such a case,
the ratio of the number of turns on the primary coil to the number on
the secondary equals the ratio of the e.m.f. induced in the primary to
the e.m.f. induced in the secondary. Suppose, for example, we wish to
make a bell ringing transformer to use on a 110 volt lighting circuit,
10 volts being required for the bell; the secondary will then need
one-eleventh of the number of turns of the primary. So that if 550 turns
are on the primary, then 50 turns will be needed for the secondary. This
will be a "step-down" transformer. On the other hand, suppose we wish to
"step-up" the voltage as is done in a certain power station where the
voltage of the generators is 6000 volts, the voltage being stepped up to
44,000 by means of large transformers. This means that the secondary
coils have approximately 7-1/3 times as many turns as the primary.
=432. Power Loss in a Transformer.=--When the voltage is "stepped up" in
a transformer, do we gain power? To answer this question we must
remember that electric power does not depend on voltage alone but on the
_product_ of e.m.f. and current intensity. (See Art. 291.) By tests with
a.-c. voltmeters and ammeters, we find that when the secondary e.m.f. is
_greater_ than the primary e.m.f., the secondary current intensity is
_less_ than that in the primary. It is also found that the _power_
developed is less than the power received by the transformer, _i.e._,
the "output" is less than the "input" as we would expect from the law of
machines. The power loss is mainly due to the work required to reverse
the magnetism, that is, to continually reverse the position of the iron
molecules. (See Art. 205.) The energy lost in this manner is known as
"core loss" since it occurs in the iron core. The lost energy appears
as heat. So much heat is developed in large transformers that special
means of cooling are provided. In order to make the heat developed as
small as possible, the cores are "laminated" (see Fig. 305, p. 346),
that is, built up of thin sheets of iron, because if the iron cores were
solid, the changing magnetic fields would induce electric currents in
the iron cores, which would produce an excessive amount of heat with a
correspondingly large power loss.
[Illustration: FIG. 432.--Diagram of "bell-ringing" transformer.]
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