On varying the length of the connecting wire of the circuit, Cumming found the deflections of the multiplier needle to be in a nearly reciprocal relation. He speaks of the “conducting power of the wire,” and seems not far from visualizing Ohm’s law, of which no published form appeared until 1826. Ohm’s own experiments were made with very similar apparatus.
An effort has been made to show that electrical experimenters prior to Oersted’s discovery in 1820 were in desperate need of some electrical instrument for galvanic or voltaic circuits that would combine sensitivity, simplicity, reliability, and quick response. The nearly simultaneous creation by Schweigger, Poggendorf and Cumming of an arrangement consisting of a coil of wire and a compass needle provided the first primitive version of a device to fill that need.
Figure 8.—Completely useless arrangement of vertical coil and horizontal, unmagnetized needle, presented in the Edinburgh Philosophical Journal of 1821 as “Poggendorf’s Galvano-Magnetic Condenser.” Almost every aspect of Poggendorf’s instrument has been incorrectly represented.
It appears that Schweigger is clearly entitled to credit for absolute priority in the discovery, but the original sources suggest that both his understanding of the device and the subsequent researches he performed with it were markedly inferior to those of the other independent discoverers. In using the generic label, “Schweigger’s Multiplier,” there have been historical examples of attributing to Schweigger considerably more sophistication than is justified. Figure 7 shows an instrument designed by Oersted in 1823, [20] which he says “differs in only minor particulars from that of M. Schweigger.” On comparing [figure 7] with figures [3], [4], or [5], the remark seems overly generous.
The history of the multiplier instruments has had its fair share of erroneous reports and misleading clues. A fine example is the illustration of [figure 8], taken from what is often quoted as the first report in English on Poggendorf’s “Galvano-Magnetic Condenser.” [31] The sketch is the editor’s interpretation of a verbal description given him by a visiting Danish chemist who, in turn, had received the information in a letter from Oersted. It incorporates, faithful to the description, a “spiral wire … established vertically,” with a needle “in the axis of the spiral,” yet by misunderstanding of the axial relations and of the ratio of length to diameter for the coil, a completely meaningless arrangement has resulted. The confusion is compounded by the specifying of an unmagnetized needle.
Schweigger and Poggendorf, through their editorial positions, were among the best known of all European scientists for several decades. On one basis or another their reputations are firmly established. Comparison of the accounts of the early “multipliers,” however, suggests that the Reverend James Cumming, professor of chemistry at the University of Cambridge, was a very perceptive philosopher. This was well understood by G. T. Bettany who wrote in the Dictionary of National Biography that Cumming’s early papers “though extremely unpretentious,” were “landmarks in electromagnetism and thermoelectricity,” and concluded that: “Had he been more ambitious and of less uncertain health, his clearness and grasp and his great aptitude for research might have carried him into the front rank of discoverers.”