Thanks for both of your responses! I feel much more comfortable with my initial statement. When I first saw the problem, I actually ended up doing the binomial theorem proof first, but wanted to see if I could do it using only the theorems that had been brought up in the book up until that...
This isn't a homework problem as it is me working through some math texts in order to add some "rigor" to my physics/engineering acumen. As an undergrad, I attempted to take a course in abstract algebra, but had to drop it due to scheduling problems. I've been working through my copy of...
Could you perhaps elaborate a bit on the application of the coil you're attempting to make (unless, of course, it's a secret)? If I know more about the application, I may be able to help you make some approximations that would make the problem a bit easier.
To address the second part of your...
The problem is still ill-determined pending knowledge of either the mass and length of the box, or the quantum number (n) describing the 2eV eigenstate. Perhaps you are given a picture of the wavefunction for the 2eV eigenstate? If so, you can count zeros to determine the quantum number...
Usually the speed of light is indicated by a lower case c (while the origins are a bit murky, it stands for 'celeritas'=latin for swiftness). Sadly, physicists, mathematicians, and engineers have only so many letters (both Greek and Latin alphabets, upper and lower case) to describe the...
Haha, I can definitely see that. Hell, I certainly never learned about ampacity in my coursework at Uni. The only time I ever came across it was back in my garage tinkering days. It really does sound like a made up word though, then again, so do most things in EE. My personal favorites are...
Specific heat is a measure of how much energy is required to raise the temperature of a certain amount of a given material. Physically, it can be measured with the material at a constant volume or at a constant pressure. For measurements at a constant volume, the material does no work on its...