If a potential (E) volts is applied across a resistance (R) ohms, the resulting current (I) amps that flows through it is given by Ohm’s law,
(3)
Thus, the current flowing through the resistance is directly proportional to the reciprocal of the resistance and is called the conductance, which is measured, in reciprocal ohms or ‘mho’s’. The resistance of a conductor varies directly as its length (l), inversely as it’s cross sectional area (A),
i.e.
(4)
Where (r) is the specific resistance or resistivity of the conductor, which is the resistance in ohms of the specimen 1 cm in length and 1 sq. cm in cross section. The specific conductance (k) is given by (1/r)
Thus,
(5)
If the
conductance of a solution is (C
), then,
(reciprocal ohms)
(6)