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THE ELECTRIC FIELD. 13
the power p, which supplies the stored energy w of the dielectric
field XF, This current i' is called the capacity current, or, wrongly, charging current or condenser current.
Since no power is required to maintain the field, but power is
required to produce it, the capacity current must be proportional
to the rate of increase of the dielectric field;
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or by (6),
«•-<& w
de
If e and therefore W decrease, -.-' and therefore if are negative;
that is, p becomes negative, and power is returned into the circuit*
The energy supplied by the power p is |
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w - p dt, (10)
or by (7) and (9),
w » / Cedef,
hence
(V*
*-£• (11)
is the energy of the dielectric field
¥ - Ce
of the circuit*
AH won, the capacity current SB the exact analogy, with regard
to the dielectric field, of the inductance voltage with regard to the magnetic field; the representations in the electric circuit, of the energy storage in the field,
The dielectric field of the circuit thus is treated and represented
in the same manner, and with the same simplicity and perspicuity, as the magnetic field, by using the name conception of linen of force,
Unfortunately, to a large extent in dealing with the dielectric
fields the prehistoric conception of the elecvtroHtatic charge on the conductor Ktill wdstn, and by ite UHO dentroyH the analogy between the two components of the electric field, the magnetic and the |
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