The ohm is named for Georg Simon Ohm, a
German scientist and early electrical pioneer, who
discovered that there is a constant relationship
between the electromotive force (E), the current
(I), and the resistance (R) in any electrical circuit.
This relationship is expressed in Ohms law as
follows:
From the basic law it follows that
From Ohms law you can (1) determine any
one of the three values when you know the other
two and (2) determine what happens in the
circuit when a value is varied.
Suppose, for example, that the resistance (R)
is increased, while the electromotive force (E)
remains the same. It is obvious that the current
(I) must drop proportionately. To avoid a drop
in the current, it would be necessary to increase
the electromotive force proportionately.
When an electrical circuit is open (that is, when
there is a break in the circuit, such as an open
switch), there is no flow of electrons through the
circuit. When the circuit is closed, however, the
current will begin to flow. With a constant
electromotive force (E), the rate at which the
current (1) flows will depend on the size of the
resistance (R). The size of the resistance will
increase with the number of electrical devices
(such as lights, motors, and the like) that are
placed on the circuit, and the amount of POWER
each of these consumes.
Power may be defined as electrical work per
unit of time. James Watt, another early pioneer
in the electrical field, discovered that there is a
constant relationship between the electromotive
force (E), the current (I), and the power
consumption (P) in a circuit. This relationship is
expressed in the formula P = IE, from which it
follows that
Power is measured in units called WATTS, a
watt being defined as the work done in 1 second
when 1 ampere flows under an electromotive force
of 1 volt.
Suppose, now, that you have a 110-volt
circuit in your home. The constant E of this
circuit, then, is 110 volts. In the circuit there is
probably a 15-ampere fuse. A fuse is a device that
will open the circuit by burning out if the
current in the circuit exceeds 15 amperes. The
reason for the existence of the fuse is the fact that
the wiring in the circuit is designed to stand
safely a maximum current of 15 amperes. A
current in excess of this amount would cause the
wiring to become red hot, eventually to burn
out, and perhaps to start an electrical fire.
Suppose you light a 60-watt bulb on this
circuit. Your E is 110 volts. By the formula
you know that the current in the circuit with the
60-watt bulb on is
or about 0.54 amperes, which is well within the
margin of safety of 15 amperes. Dividing 15
amperes by 0.54 amperes you find that this fuse
will protect a 27-lamp circuit.
But suppose now that you place on the same
one-lamp circuit an electric toaster taking about
1,500 watts (electrical devices are usually marked
with the number of watts they consume) and an
electrical clothes dryer taking about 1,200 watts.
The total P is now 60 + 1,500 + 1,200, or 2,760
watts. The current will now be
2,760
110
or 25 amperes. Theoretically, before it reaches this
point, the 15-ampere fuse will burn out and open
the circuit.
Mechanical Power Measure
Mechanical power (such as that supplied
by a bulldozer) is measured in units called
FOOT-POUNDS PER SECOND (ft-lb/sec) or
FOOT-POUND PER MINUTE (ft-lb/min). A
foot-pound is the amount of energy required to
raise 1 lb a distance of 1 ft against the force of
gravity.
One HORSEPOWER equals 33,000 ft-lb/sec
or 550 ft-lb/min. One horsepower equals about
746 watts.
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