I had a thought that I hope you could give me feedback on:
Imagine a complex configuration that had a steady current, such that it's magnetic field was complex as well (I apologize for using 'complex' quite loosely here). If I were to apply Ampere's Law and form an Amperian loop that did not...
Woah, AM. I've never heard of the equipartition theorem before, but after reading about it, what you said about internal energy makes complete sense. Like I said, I overlooked something fundamental.
Thanks!
Hi all!
I have a quick question. In my Physical Chemistry textbook, the author states,
"For a closed system in equilibrium, the internal energy (and any other state function) can be expressed as a function of temperature and volume."
Can anyone explain just how that is true? I'm quite...
Recall the gas laws:
Boyle's Law states:
P\alphaV (The pressure of a gas is proportional to its volume and vice versa.)
Avogadro's Law states:
V\alphan (The volume of a gas is proportional to its amount (in moles) and vice versa.)
Charle's Law states:
V\alphaT (The volume of a gas is...
Thanks for the reply, Mathman. Is there another way than to separate it into separate cases?
I feel as if I'm forgetting a key concept. For example, consider this simplifcation that was given in a solution manual of mine:
I(x) = e^{\int(-1/x dx)} = e^{(-ln(x))}= e^{ln(x^{-1})} = 1/x...
Hey Guys! I've frequently come by this forum and have finally joined it in hopes that I could get some more conceptual insight in understanding math.
One thing that I have trouble with is absolute values. I understand that:
|x|= \sqrt{x^2} .. and how it can be defined given restrictions on...