Ohm's Other Law

The dictionary defines a genius as someone who displays “exceptional intellectual or creative power or other natural ability.” Nowhere in that definition does it say that a genius has to be infallible. That's something you and I share with a genius. Sometimes we are wrong.

Alert readers will recall that we recently discussed Ohm's Law. Georg Ohm proposed a relationship between voltage, current, and resistance that challenged the established science. His heterodoxy earned him widespread scorn and personal humiliation. His peers graded his math with an F. Of course, in fact, his work was A+ and his concise bit of mathematics laid the foundation for our modern world of electronics. It is not hyperbole to say that Ohm's Law is a work of genius. Which brings us to Ohm's other law.

In the course of his scientific career Ohm worked on many problems. Intellectually restless, he tackled issues such as electromagnetic force and molecular physics. He was also fascinated with the question of sound. There is a curious cosmic anomaly there because audio engineers use Ohm's resistance law every day to design audio devices but Ohm could never have imagined today's circuitry that uses his resistance law for audio purposes. Rather, his interest in audio dealt with the question of how we hear music.

In particular, Ohm's other law, sometimes known as Ohm's acoustic law, posits that a musical sound is perceived by the ear as a set of pure harmonic tones. To cut right to the chase, we now know that this is not correct. The ear in fact does not work as his law describes. But we can give him partial credit for his answer.

When he proposed the law in 1843, the perception of sound was a hot scientific question. And in all fairness, it's a question that is still not fully understood. Other scientists such as Hermann von Helmholtz and mathematicians such as Joseph Fourier were piecing together the relationships of pure and complex tones, and beginning to understand that a complex tone could be resolved into a series of harmonically related pure tones, and also could be created from them.

Ohm was not far off base but he erred in one crucial respect. The ear in fact does not perform what would essentially be a Fourier analysis. Another cosmic anomaly: thanks to Ohm's resistance law, we can build Fourier analyzers — circuits that do indeed parse out component harmonics from complex tones. But the ear doesn't work like that.

Postscript: Much of the opposition to Ohm's resistance law stemmed from the fact that his expression of it was fairly cryptic. Simply put, he did not explain his work particularly well. This made it doubly hard for contemporaries to accept a novel idea that already ran contrary to their expectations. The point is that genius is one thing, but genius can be lost unless it is properly communicated. I wonder if Ohm could have proposed a more useful acoustic law, if only he had thought through the problem a bit more. By working harder to better explain his views, it might have caused him to refine his thinking and arrive at a more correct solution.

Post Postscript: In any case, we can conclude that to err is human. Even if you are a genius.

COMMENTS
paverloving's picture

The relationships that Georg Ohm developed between voltage, current, and resistance were revolutionary at the time. To this day, Ohm would be surprised to learn that his rule of resistance is used in audio circuits, but audio engineers rely on it every day https://drivemad.io/home. Thank you so much for sharing this lovely post.

dohoh29288's picture

One of the key benefits of the gym body scan is its ability to accurately measure body fat percentage. Unlike traditional methods such as calipers or scales, which can be less precise, the body scan provides a highly detailed and precise assessment. This information is invaluable for those looking to manage their weight, build muscle, or improve their overall health.gym body scan

sarahjames2005's picture

Once upon a time, in a world filled with exam worries, a hero named take my teas exam for me emerged. Armed with a team of scholarly knights, they set out on a mission: to banish stress and bring about a renaissance of incredible grades. Join them on this journey, and write your own success story.

dohoh29288's picture

I'm so impressed with the informative content on this website. Please share any similar websites you know of. I'm currently working on a project and could use some additional guidance.PRIVATE TOUR GUIDE

Gikama5160's picture

13377x has evolved into 1337xto.to and 13377x.tw, serving as new search engines for downloading and uploading movies, TV series, games, and software in 2023. This torrent site facilitates global access to various files.

kattkim's picture

Consige que tu reclamación por lesiones personales comience con los mejores abogados de accidentes de peatones de Las Vegas.Ponte en contacto con nuestra oficina de abogados en Las Vegas para programar tu consulta inicial gratuita.

dohoh29288's picture

The psychological impact of dental health should not be underestimated, as a healthy smile can boost confidence and self-esteem. Conversely, dental issues can lead to social anxiety and self-consciousness. Cosmetic dentistry has gained prominence in addressing aesthetic concerns, offering procedures such as teeth whitening, veneers, and dental implants to enhance the appearance of teeth and create a more aesthetically pleasing smile.turismo dentale

dohoh29288's picture

The social fabric of communities finds itself intricately woven into the narrative of real estate. From the vibrancy of urban neighborhoods teeming with cultural diversity to the close-knit bonds of suburban enclaves, the spaces we inhabit become more than mere physical structures—they become canvases upon which the stories of human interaction unfold. The quest for community, driven by shared values, common aspirations, and a sense of belonging, animates the choices individuals make in selecting the places they call home.Avokat për heqje ekspulsi

seviy62853's picture

tamilblasters com Watching movies and TV shows is a pastime, for people providing a delightful escape and an opportunity to connect with loved ones. While there are platforms like tamilblasters that offer a range of content the appeal of alternatives remains strong.

dohoh29288's picture

Furthermore, the law of attorney encompasses the principles of competence and diligence, requiring attorneys to possess the necessary skills and knowledge to effectively represent their clients. Attorneys are obligated to diligently pursue their clients' interests, conducting thorough research, and advocating zealously on their behalf. This obligation extends to maintaining competence through continuous education and staying abreast of legal developments relevant to their practice areas. By upholding these standards, attorneys uphold the integrity of the legal profession and instill confidence in their clients.Công ty Luật

reacthunt's picture

I'm very delighted with the valuable stuff of this website. Please share any similar websites you know about. I am currently working on a project and might use some further guidance. AI SEO Services

MikeRay's picture

Using a well-rounded legal approach, the attorneys at https://consumerattorneys.com can help consumers remove errors from credit reports. First, they go through the credit reports looking for inaccuracies and then prepare the evidence for a consumer's claim. The attorneys then file the dispute with the credit bureaus and negotiate to resolve the issue or take it to court. They ensure full compliance with the FCRA by protecting consumers' rights and thereby improving their credit scores. Their expertise helps negotiate the complicated process, increasing the chances of successfully correcting errors and restoring the consumer's financial reputation.

bertbert21's picture

I greatly appreciate your article's careful study and exceptional wording. It captured my interest so intensely that I felt driven to continue reading. Your knowledge and abilities shine through clearly. Thank you so much for sharing your ideas. By the way, check out how to Sell Used Electronic Devices .

X