In 1843 Wheatstone communicated an important paper to the Royal Society, entitled An Account of Several New Processes for Determining the Constants of a Voltaic Circuit. It contained an exposition of the well known balance for measuring the electrical resistance of a conductor, which still goes by the name of Wheatstones Bridge or balance, although it was first devised by Samuel Hunter Christie, of the Royal Military Academy, Woolwich, who published it in the Philosophical Transactions' for 1833. The method was neglected until Wheatstone brought it into notice.
His paper abounds with simple and practical formulae for the calculation of currents and resistances by the law of Ohm. He introduced a unit of resistance, namely, a foot of copper wire weighing one hundred grains (6.5 g), and showed how it might be applied to measure the length of wire by its resistance. He was awarded a medal for his paper by the Society. The same year he invented an apparatus which enabled the reading of a thermometer or a barometer to be registered at a distance by means of an electric contact made by the mercury. A sound telegraph, in which the signals were given by the strokes of a bell, was also patented by Cooke and Wheatstone in May of that year.