CHAPTER VI ELECTRICAL UNITS

The Ampere

There are certain terms used in the electrical field to distinguish

various properties and qualities of the electrical current with which it

is well for the young experimenter to acquaint himself.

One of the first units usually required, in order to make intelligent

comparisons, is a unit of measure. The _quart_ is the unit of _measure_

commonly applied to liquids and is based upon the amount of space

occupied by a certain volume. The _pound_ is a unit of weight which

determines a certain amount of any substance by comparing the force

which gravity exerts in pulling it to the earth with the same effect of

gravity on another standard "weight."

Electric current is invisible and weightless, and for these and other

reasons cannot be measured by the quart or weighed by the pound. The

only way that it can be measured is by means of some of the effects

which it produces. Either the chemical, electro-magnetic, or the heating

effects may be made the basis of a system of measurement.

The first method used to measure electric current was the chemical one.

If a current is passed through a solution of a chemical called copper

_sulphate_ (blue vitriol) by means of two copper plates, _copper_ will

be deposited on one plate and dissolved from the other. If the current

is furnished by a battery the copper will be deposited on the plate

connected with the zinc of the battery. If the current is allowed to

flow for a short time and the two copper plates are then taken out and

weighed it will be found that one plate is considerably heavier than the

other.

The copper has been taken from one plate and deposited on the other by

the _electric currents_. The amount of electric current which will

deposit 1.177 grammes of copper in an hour is called an _ampere_. The

ampere is the unit of electrical current measurement, and implies

quantity or amount.

The chemical method of measuring current was at one time put to

practical service in the distribution of electric current for lighting

and power. Many years ago the house meters, used to measure the current,

consisted of a jar containing two copper plates. The current used in the

house would cause copper to deposit on one plate, and by weighing the

plate the power company could determine the amount of current used, and

thereby the amount of the bill. The meters nowadays make use of the

magnetic effects of the current instead of the chemical, as described

later on.

The Volt

For purposes of explanation the electric current may be likened to a

stream of water flowing through a pipe.

If you hold your thumb over the end of a water-pipe through which water

is flowing it will push your thumb away because of the _pressure_ which

the water exerts.

Electric currents also exert a _pressure_, only it is not called

pressure in electrical parlance, but, spoken of as _electromotive force_

or _potential_.

The pressure of the water enables it to pass through small openings and

to overcome the resistance offered by the pipe.

Wires and other electrical conductors do not offer a perfectly free path

to an electric current, but also possess a resistance. It is the

potential of the electro-motive force which overcomes the resistance and

pushes the current through the wire.

Advantage has been taken of the fact to fix a unit of electrical

pressure called the _volt_. The pressure of the water in a water-pipe is

measured in pounds, but the pressure of an electric current in a wire is

measured by _volts_. The volt is the unit of electrical force which will

cause a current of one ampere to flow through a resistance of one _ohm_.

The Ohm

The ohm is the unit of electrical resistance. The standard ohm is the

resistance offered by a column of pure mercury having a section of one

square millimeter and a length of 106.28 centimeters at a temperature of

0° centigrade.

The pressure which will force sufficient current through such a column

of mercury to deposit 1.177 grammes of copper in one hour is a volt, and

in doing so has passed a current of one ampere through a resistance of

one ohm.

The units ohm, ampere, and volt, were named in honor of the three great

electricians: Ohm, Ampère, and Volta.

These three units bear a very close relation to each other which is

explained by Ohm’s Law.

Ohm’s Law is a simple statement of facts which it is well for the young

electrician thoroughly to understand, for it might almost be said to be

the basis of design of almost all electrical instruments.

It is simply this: The strength of a current equals the voltage divided

by the resistance. It may be expressed in symbols by: _C = E/R_. Where C

is the current in amperes, E is the potential in volts, and R the

resistance in ohms.

By way of a simple example, we will suppose that a small telegraph

sounder is connected to a battery and that the voltage of the battery is

_ten volts_. We will further suppose that the resistance of the sounder

connecting wires and the battery itself is _five ohms_. Knowing these

two facts, it is very easy to find out how many amperes are flowing

through the sounder by substituting these values in the equation as

follows:

C = E/R

E = 10 volts and R = 5 ohms

therefore C = 10/5 or 2 amperes

In order to indicate fractions or very large values of the ampere, volt,

and ohm, it is customary to use the following terms:

Milli-volt = 1/1000 of a volt

Mill-ampere = 1/1000 of an ampere

Kilo-volt = 1000 volts

Meg-ohm = 1,000,000 ohms

The Watt

It is no doubt perfectly plain that the water in a certain size of pipe

at a pressure of 100 lbs. is more powerful than a stream of water in the

same size of pipe at 25 lbs. pressure.

Likewise a current of electricity represents more power at 100 volts

potential than the same current would at 25 volts. The unit of

electrical power is called the _watt_. A watt is represented by a

current of one ampere flowing through a wire at a potential of one volt.

The number of watts is found by multiplying the voltage by the amperage.

In the case of the sounder and battery used as an example to explain

Ohm’s Law, and where the voltage was 10 and the amperage found to be 2,

the number of watts is 10 x 2, or 20 watts.

Seven hundred and forty-six watts represent one electrical horse-power.

One thousand watts are called a _kilo-watt_.

The Coulomb

So far, none of the units have taken into consideration the element of

time.

If water should be permitted to run out of a pipe into a tank until ten

gallons had passed it would not be possible to tell at what rate the

water was flowing by knowing that ten gallons had passed unless it were

also known how long the water had been flowing. Ten gallons per minute

or ten gallons per hour would indicate the rate of flow.

One ampere flowing for one second is the electrical unit of flow. This

unit is called the _coulomb_.

One ampere flowing for one hour is called an _ampere hour_. The number

of ampere hours is found by multiplying the current in amperes by the

time in hours.

A battery may be said to have a capacity of 10 ampere hours. This means

that it will deliver one ampere for 10 hours (1 ampere x 10 hours = 10

ampere hours) or 2 amperes for 5 hours (2 amperes x 5 hours = 10 ampere

hours).

The same element of time enters into consideration in connection with

the watt. One watt flowing for one hour is a _watt hour_ and one

kilowatt flowing for one hour is a _kilo-watt hour_.

The Difference between Alternating and Direct Currents

There are two distinct kinds of electric current supplied for lighting

and power, one known as _direct_ current and the other as _alternating_.

A _direct current_ is one which passes in one direction only. It may be

represented by a straight line, as _A_ in Figure 88.

An alternating current is one which reverses its direction and passes

first one way and then the other. It may be represented by a curved

line, shown in Figure 88. It starts at _zero_, and gradually grows

stronger and stronger. Then it commences to die away until no current is

flowing. At this point it reverses and commences to flow in the opposite

direction, rising gradually and then dying away again.

This is repeated a definite number of times per second; when the current

rises from zero, reverses and returns to zero, it is said to pass

through a _cycle_.

[Illustration: Fig. 88.—Graphic Representation of a Direct and an

Alternating Current.]

The part of the curved line from _a_ to _b_ in Figure 88 represents the

first part of the current, when it is rising. From _b_ to _c_ represents

its fall. The point at which the curved line crosses the straight line

is zero. At _c_ the current crosses the line and commences to flow in

the opposite direction until it reaches _d_, at which point it dies away

and again crosses the line to flow in its original direction and _repeat

the cycle_.

In electrical parlance, that part of the current from _a_ to _c_ or from

_c_ to _e_ is known as an _alternation_. From _a_ to _e_ is called a

cycle.

The reason why alternating current is often used in place of direct

current is that it can be sent over the wires for long distances more

economically than direct current. This is more fully explained farther

on in the chapter dealing with a step-down transformer.

The number of _cycles_ taking place in one second is known as the

_frequency_ of the current. The usual _frequency_ of commercial

alternating currents is 60 cycles per second or 7200 alternations per

minute.

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