Recent content by lekh2003

This is quite general, but here's a good text by Evans.

It is worth noting that the actual sequence of partitions isn't particularly relevant here. The text makes no effort to specify a sequence because it is a bit of a pain to explicitly write down sometimes as you've seen. Simply specifying that you can pick something like an equal spacing that...

I see your argument here, but I feel like its sometimes useful to view the complex numbers instead as endowing a convenient multiplicative structure on #\mathbb{R}^2#. Specifically a multiplicative structure which only really coincidentally happens to be possible because of the complex numbers...

I don't know about the legality of such actions, but there do exist ways to access the paper without institution access.

Hello everyone! I'm currently self studying knot theory and I am at the point where I am looking at its relationship with other fields. I am a math and physics student, but my physics understanding is far behind my understanding of math. Hence, I would really like some help interpreting some...

I meant that it isn't an option in the set of answers for the multiple choice. I don't see any fundamental issue. Normally, I would agree, and throughout my study of this topic, I have followed this. But then one fine day I read the textbook and find a question where they approximate it...

I can't say I necessarily understand what has been discussed in the thread so far. The way I'm currently rationalising it is that the approximation of ##\Delta x = \frac L2## is causing the issues. Hence, we cannot use that approximation and the standing wave approach is more "accurate".

Here's the question ^ My first thought to solving this is to use Heisenberg's uncertainty principle. $$\Delta x \Delta p = \frac{h}{4\pi}$$ Now, we approximate ##\Delta x = \frac{L}{2}##. Then, plug and chug we end up with:$$p =\frac{h}{2\pi L}$$ I thought this was it, especially because this...

I think I'm close on Question 11, but I think I may have done something wrong?

Thank you very much for the explanation. It makes sense. The fact that a capacitor would have been a better choice is also useful information. I can point out that it exists as a weakness of my experimental setup.

Ah, so if I'm understanding correctly, the solenoid still has a pullback affect on the projectile, but the energy from that pullback is transferred to heat energy in the relay module? If that were the case, it explains why the relay modules heat up during the experiment.

Sorry for taking so much of everyone's time, but I think I have a final concern/question. For my solenoid, it turns on because I close the circuit using a relay. But then, I open the circuit to turn it off. Does this still mean I have pullback? I'm aware that a solenoid in a capacitor circuit...

Honestly, this is beyond me. I don't think I can attempt to replicate this and doubt I have the resources either. I'm not trying to make an actual working coilgun. I'm testing some concepts, that's all. Additionally, I initiated the experiment, and designed everything myself. I was only under...

That's a very good point, thank you, I will adjust that and check. I reckon it is that way because the coil isn't tightly wound and layered?