Ohm's Law Quotes

Ohm found that the results could be summed up in such a simple law that he who runs may read it, and a schoolboy now can predict what a Faraday then could only guess at roughly. By Ohm's discovery a large part of the domain of electricity became annexed by Coulomb's discovery of the law of inverse squares, and completely annexed by Green's investigations. Poisson attacked the difficult problem of induced magnetisation, and his results, though differently expressed, are still the theory, as a most important first approximation. Ampere brought a multitude of phenomena into theory by his investigations of the mechanical forces between conductors supporting currents and magnets. Then there were the remarkable researches of Faraday, the prince of experimentalists, on electrostatics and electrodynamics and the induction of currents. These were rather long in being brought from the crude experimental state to a compact system, expressing the real essence. Unfortunately, in my opinion, Faraday was not a mathematician. It can scarcely be doubted that had he been one, he would have anticipated much later work. He would, for instance, knowing Ampere's theory, by his own results have readily been led to Neumann's theory, and the connected work of Helmholtz and Thomson. But it is perhaps too much to expect a man to be both the prince of experimentalists and a competent mathematician.

When we first arrived at the school we received an extended introduction detailing what a wonderful place it was and how lucky we were to be there. But no one explained exactly why we were to be there. Yes, we understood the general objective was to accumulate knowledge, although learning Shakespeare and algebra did not strike us as particularly helpful to our future lives. I've yet to meet a single person who found a use for algebra in later life. The excuse proffered was that it developed intelligence. It struck me as extremely unintelligent not to give us the opportunity to study subjects that would be of practical use as well as develop our intelligence. I learned Boyle's law and Ohm's law parrot fashion without having a clue as to their meaning, yet left the school five years later incapable of changing a fuse or wiring a three-pin plug. Understandably, we formed the general impression that we were there for the same reason we were sent to Sunday school – to keep us out of mischief until we were old enough to work.

Mighty men of science and mighty deeds. A Newton who binds the universe together in uniform law; Lagrange, Laplace, Leibnitz with their wondrous mathematical harmonies; Coulomb measuring our electricity... Faraday, Ohm, Ampère, Joule, Maxwell, Hertz, Röntgen; and in another branch of science, Cavendish, Davy, Dalton, Dewar; and in another, Darwin, Mendel, Pasteur, Lister, Sir Ronald Ross. All these and many others, and some whose names have no memorial, form a great host of heroes, an army of soldiers – fit companions of those of whom the poets have sung... There is the great Newton at the head of this list comparing himself to a child playing on the seashore gathering pebbles, whilst he could see with prophetic vision the immense ocean of truth yet unexplored before him...

The perpetrator of such a misdemeanor must have a motive. Is UMMO the private joke of a group of Spanish engineers? Is it a psychological warfare exercise, as some French analysts suspect? Or is the truth more complex, rooted in a social reality where the ideas and symbols of UMMO have acquired a life of their own, their special mythology, and a set of beliefs that feed on themselves? We can at least be certain of one thing: the UMMO documents do not come from advanced beings trying to demonstrate their existence to us. But try to explain it to their disciples! Very few UFO believers, and even fewer of their New Age counterparts, have any formal training in science. They are easily awed by any document that contains a few equations and a numerical system of base 12. Yet if they had some awareness of modern technology, they would realize how easy it should be for an advanced race to prove its genuine skill to a society like the human race. After reading the masses of documents purportedly coming from the planet UMMO, I asked myself: if I had the opportunity to communicate with intelligent beings of an earlier time, such as the high priests of Egypt, how would I establish a meaningful dialogue? I certainly would not insult them by sending a letter beginning with ”We are aware of the transcendence of what we are about to tell you”—especially if I had an imperfect command of hieroglyphics! Instead, I would concentrate on a few points of valuable, verifiable information. Since the Egyptians already knew how to make electrical batteries and were aware of the magnetic properties of certain minerals, I would send them a simple set of instructions to make a coil and a compass. I could explain resistance and Ohm’s Law, a simple equation that was easily within the grasp of their mathematicians. Or I would tell them about making glass and lenses from sand. If they wanted proof, I would not bother to reveal to them set theory or the fact that E is equal to mc2. Instead, I would send them a table predicting future eclipses, or a diagram to build an alternator, or Leonardo da Vinci’s design for variable-speed cogwheels. That should get the attention of the top scientists in their culture and open up a dialogue. Unfortunately, the extraterrestrials of UMMO and other planets never seem to communicate at this level. Are they afraid of collapsing our society by appearing too advanced with respect to us? This hypothesis does not hold, since they have chosen a very obvious way of showing themselves in our skies.

In electrophysiology, it can be convenient to use the different formulations of Ohm'd law at different times depending on the quantities of interest. The versions with I as the dependent variable are useful for discussing measurements of current (as in voltage clamp), whereas V = IR is preferred when voltage is reported (as in natural cellular activity). The equation is generally written in terms of g when fluxes through specific ion channels are of interest, and in terms of R when properties of the entire cell are considered without distinguishing channel types.