Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great BritainFleming, J. A. (John Ambrose), Sir
Science
Waves and ripples in water, air, and æther : $b Being a course of Christmas lectures delivered at the Royal Institution of Great Britain
Fleming, J. A. (John Ambrose), Sir
Electric waves; Sound; Waves
An electric current in one sense resembles a moving substance,
for it is an exhibition of energy in association with matter. The
current-energy is measured by the product of two factors: one is half
the square of the current-strength, and the other is the inductance
of the circuit. The analogy between the two cases may be more exactly
brought out by pointing out that the energy of motion of a moving body
is measured by the product of its mass and half the square of its
velocity. Hence it follows that the power of overcoming resistance, or,
in other words, of doing useful work or mischief, which is possessed
by a heavy body in motion is proportional, not simply to its speed,
but to the square of its speed. If a bullet, moving with a certain
speed, can just pass through one plank 1 inch thick, then, when moving
with twice the speed, it will pass through four such planks, and
if moving with three times the speed, through nine planks of equal
thickness. The energy of an electric current is similarly measured by
the product of the inductance of the circuit and half the square of
the current-strength. In the same or equal circuits two currents, the
strengths of which are in the ratio of 1 to 2, have energies in the
ratio of 1 to 4. The greater, therefore, the inductance of an electric
circuit, the greater is the tendency of an electric current set flowing
in it to run on after the electromotive force is withdrawn. The
inductance of a circuit is increased by coiling it into a coil of many
turns, and decreased by stretching it out in a straight line.
The important idea to grasp in connection with this part of the subject
is that, just as there are two forms of mechanical energy, viz. energy
of mechanical strain and energy of motion, so also there are two
forms of electrical energy, viz. energy of electro-static strain and
electric-current energy.
If, for instance, we bend a bow or extend a spring, this action
involves the expenditure of mechanical energy, or work, and the energy
so spent is stored up as energy of strain, or, as it is called,
distorsional energy in the distorted bow or spring. When, however,
the bow communicates its energy to the arrow or the spring to a ball,
and so sets these in motion, we have in the flying arrow or ball a
store of energy of motion. If a slip of steel spring is fixed at one
end, and then set in vibration, we have a continual transformation of
energy from the motional to the distorsional form. At one moment the
spring is moving violently, and at the next it is bent to its utmost
extent; and these states succeed each other. The store of energy in the
vibrating spring is, however, gradually frittered away, partly because
the continual bending of the steel heats it, and this heat dissipates
some of the energy; but also because the spring, if vibrating quickly
enough, imparts its energy to the surrounding air, and creates air
waves, which travel away, and rapidly rob the vibrating spring of its
stock of energy.
Public-domain text, read in full here on John Shaqi.
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