Then if E is the electromotive force, and R the resistance of cell, r the resistance of the galvanometer, and other parts of the circuit, the strength C in the one case is C = E / (R + r), and in the other = E / ((1/2)R + r + l), and since the strength in both cases is the same, R = 2l, i.e., the internal resistance of the cell is equal to twice the resistance corresponding to the length l of the rheostat wire.
The comparative electromotive force of a battery may be determined by means of a double shunt differential galvanometer in the following method, as recommended by Mr. Latimer Clark.
"This can only be done relatively in terms of some other standard battery. First determine the resistance of the standard and of the other cells to be measured; then insert the shunt plugs at A and D, [Fig. 97], and also at C and B, and join up the standard cell in circuit with a resistance coil to the terminals A and D, and unplug the resistance coils until a convenient deflection is obtained, say 15°; note the sum of the resistances in circuit, including that of the battery galvanometer, resistance coil and connecting wires; now change the battery for another, and by unplugging the resistance coils bring the needle again to the same deflection, 15°; having again found the total resistance in the circuit, the relative electromotive force will be directly proportional to these resistances."
The electromotive force of a battery may also be measured statically by means of Thomson's quadrant electrometer, the poles of the battery being connected with the two chief electrodes of the instrument, in which arrangement no current will pass, and the electromotive force will be directly indicated by the difference of potential observed.
In the case of a quantity battery, that is, a battery capable of fusing a fine platinum wire, its electromotive force and internal resistance may be determined by means of the resistance coils K, and thermo galvanometer M, shown at [Fig. 95].
Tests after Submersion.—After an electrical submarine mine has been placed in position, it should be immediately tested to ascertain that all is right, and similar tests should be applied at intervals to ascertain that the charge remains dry; that the insulation and conductivity of the electric cable remains the same; and that its electrical resistance indicates a state of efficiency.
The nature of the tests applied to determine these points will depend upon the nature of the combination in which the mine is arranged.
The manner of applying the "sea cell" test, by which is ascertained the condition of a system of electrical submarine mines, will be readily understood from the following examples.
The arrangements for testing to ascertain whether a charge is dry, or wet, is shown at [Fig. 98].
z is a plate of zinc introduced in the circuit within the charge, and between the fuze and the shore; another earth plate of carbon x is connected with the electric cable beyond the fuze, forming the ordinary earth connection of the system at that point; and at home a copper earth plate c is used.