The Study of Elementary Electricity and Magnetism by Experiment: Containing Two Hundred Experiments Performed with Simple, Home-made ApparatusSt. John, Thomas M. (Thomas Matthew)
Science
The Study of Elementary Electricity and Magnetism by Experiment: Containing Two Hundred Experiments Performed with Simple, Home-made Apparatus
=Note.=--The standard resistance will have to be arranged
to suit each particular case to make the calculations even
approximately correct. (See Exp. 129, Note.) The standard
resistance may be increased by adding the various coils and
rheostat wires, their values being known.
_=349. Summary of Laws of Resistance.=_ 1. _The resistance of a wire
is directly proportional to its length, provided its cross-section,
material, etc., are uniform._
=EXAMPLE.= If 39.1 ft. of No. 24 copper wire has a resistance
of 1 ohm, 78.2 ft. will have a resistance of 2 ohms, because
78.2 is twice 39.1; 70.38 ft. will have a resistance of 1.8
ohms, as (70.38 ÷ 39.1 = 1.8) it is 1.8 times 39.1.
2. _The resistance of a wire is inversely proportional to its area
of cross-section._ The areas of cross-section of round wires vary as
the squares of their diameters; so _the resistance of a wire is also
inversely proportional to the square of its diameter, other things
being equal_.
=EXAMPLE.= A No. 30 wire has a diameter of about .01 inch,
while the diameter of a No. 24 wire is about .02 in.; that is,
the No. 24 has _twice_ the diam. that the No. 30 has. The area
of cross-section of the No. 24, however, is four times that of
the No. 30, so its resistance is but 1/4 that of the No. 30,
the lengths, etc., being the same. (See Wire Tables.)
3. _The resistance of a wire depends upon its material, as well as upon
its length, size, etc._
4. _The resistance of a wire depends upon its temperature._ (See
Elementary Electrical Examples.)
CHAPTER XX.
CURRENT STRENGTH.
_=350. Strength of Current.=_ The water in a certain tank may be under
great pressure, but if it is obliged to pass through long tubes before
it can turn a water-wheel, for example, it is evident that the work
done will depend not only upon the pressure in the tank, but upon the
resistance to be overcome before the water gets to the wheel. The work
that the water can do depends upon its _rate of flow_, and may be used
to measure the _strength_ of the current.
The strength of a current of electricity is measured also by the _work_
that it can do, and it depends upon its _rate of flow_ at the point
measured. The strength may be determined from its magnetic, heating, or
chemical effects.
_=351. Unit of Current Strength; The Ampere.=_ A current having the
strength of 1 ampere, when passed through a solution of silver nitrate
under proper conditions, will deposit 0.001118 gramme of silver in _one
second_; if passed through a solution of copper sulphate, copper plates
being used for the electrodes, in the solution, 0.0003277 gramme of
copper will be deposited in _one second_. (See Chemical Effects of the
Current.) The thousandth of an ampere is called the milliampere. The
strength of a current is proportional to the amount of chemical work
that it can do per second. (See § 357.)
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