One well-known comparison method is that of C.V. de Sauty. The two
condensers to be compared are connected in the branches of a
Wheatstone's Bridge (q.v.) and the other two arms completed with
variable resistance boxes. These arms are then altered until on
raising or depressing the battery key there is no sudden deflection
either way of the galvanometer. If R1 and R2 are the arms' resistances
and C1 and C2 the condenser capacities, then when the bridge is
balanced we have R1 : R2 = C1 : C2.
Another comparison method much used in submarine cable work is the
method of mixtures, originally due to Lord Kelvin and usually called
Thomson and Gott's method. It depends on the principle that if two
condensers of capacity C1 and C2 are respectively charged to
potentials V1 and V2, and then joined in parallel with terminals of
opposite charge together, the resulting potential difference of the
two condensers will be V, such that
(C1V1 - C2V2)
V = ------------- (16);
(C + C)
and hence if V is zero we have C1 : C2 = V2 : V1.
The method is carried out by charging the two condensers to be
compared at the two sections of a high resistance joining the ends of
a battery which is divided into two parts by a movable contact.[10]
This contact is shifted until such a point is found by trial that the
two condensers charged at the different sections and then joined as
above described and tested on a galvanometer show no charge. Various
special keys have been invented for performing the electrical
operations expeditiously.
A simple method for condenser comparison is to charge the two
condensers to the same voltage by a battery and then discharge them
successively through a ballistic galvanometer (q.v.) and observe the
respective "throws" or deflections of the coil or needle. These are
proportional to the capacities. For the various precautions necessary
in conducting the above tests special treatises on electrical testing
must be consulted.
Absolute determinations.
Public-domain text, read in full here on John Shaqi.
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