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60 ELECTRIC DISCHARGES, WAVES AND IMPULSES.

where C = capacity = coefficient of energy storage by the volt-
age, in the dielectric field, and g » conductance *= coefficient of
power consumption by the voltage, as leakage conductance by
the voltage, corona, dielectric hysteresis, etc.

Thus the transient of the spontaneous discharge of a condenser
would be represented by

-r* ^

e « eoe ^c . (4)

Similar single-energy transients may occur in other systems,

For instance, the transient by which a water jet approaches con-
stant velocity when falling under gravitation through a resisting
medium would have the duration

T - 25, (5)

where VQ = limiting velocity, g » acceleration of gravity, and would
be given by

v « 0₀ (l -a"*), (6)

In a system in which energy can be stored in two different
forms, as for instance as magnetic and aw dielectric energy in a
circuit containing inductance and capacity, in addition to the
gradual decrease of stored energy similar to that represented by
the single-energy transient, a transfer of energy can occur between
its two different forms.

Thus, if i « transient current, e «• transient voltage (that in,
the difference between the respective currents and voltages exist-
ing in the circuit as result of the previous circuit condition, and
the values which should exist as result of the change of circuit
conditions), then the total stored energy in

_W »^? + ^^s )

^w~ 2 ⁺"2 '£ (7)

- W_m

While the total energy W decreases by dissipation, W_m may be
converted into W+, or inversely.

Such an energy transfer may be periodic, that is, magnetic energy
may change to dielectric and then back again; or unidirectional,
that is, magnetic energy may change to., dielectric (or inversely,
dielectric to magnetic), but never change back again; but the



	60 ELECTRIC DISCHARGES, WAVES AND IMPULSES. where C = capacity = coefficient of energy storage by the volt- age, in the dielectric field, and g » conductance = coefficient of power consumption by the voltage, as leakage conductance by the voltage, corona, dielectric hysteresis, etc. Thus the transient of the spontaneous discharge of a condenser would be represented by -r ^ e « eoe ^c . (4) Similar single-energy transients may occur in other systems, For instance, the transient by which a water jet approaches con- stant velocity when falling under gravitation through a resisting medium would have the duration

	T - 25, (5) where VQ = limiting velocity, g » acceleration of gravity, and would be given by v « 0₀ (l -a"), (6) In a system in which energy can be stored in two different forms, as for instance as magnetic and aw dielectric energy in a circuit containing inductance and capacity, in addition to the gradual decrease of stored energy similar to that represented by the single-energy transient, a transfer of energy can occur between its two different forms. Thus, if i « transient current, e «• transient voltage (that in, the difference between the respective currents and voltages exist- ing in the circuit as result of the previous circuit condition, and the values which should exist as result of the change of circuit conditions), then the total stored energy in _W »^? + ^^s ) ^w~ 2* ⁺"2 '£ (7) - W_m

	While the total energy W decreases by dissipation, W_m may be converted into W+, or inversely. Such an energy transfer may be periodic, that is, magnetic energy may change to dielectric and then back again; or unidirectional, that is, magnetic energy may change to., dielectric (or inversely, dielectric to magnetic), but never change back again; but the