Recent content by exiztone

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    Calculating Potential Difference from Infinite Line Charge

    Patrick, thanks a million! This is a huge help. I know the general formula now, but more importantly I understand how that was derived. In the exam, I'll probably use this formula but explain how I got it (this way, I don't have to do that horrible integration). You've been a huge help, thanks a...
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    Calculating Potential Difference from Infinite Line Charge

    Patrick, or anyone else who might be able to help. After many attempts I got the following: [\sinh^{-1} ({\frac{x}{2}})]^{+\infty}_{-\infty} But I can't go on from there. I have to get rid of the infinite somehow, but I can't see how. Can you point me in the right direction? Thank you so much!
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    Calculating Potential Difference from Infinite Line Charge

    My tables book doesn't have anything like that, I'm sorry. I have a special one for the Irish education system. I know this is slightly cheeky, but do you think you could perform the integration on one of the numbers (say the point charge at 2m), I'm really having trouble with it. :frown...
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    Calculating Potential Difference from Infinite Line Charge

    Hi Patrick, thank you very much. All that makes perfect sense now. You are very kind to explain it all to me! :smile: I have to say, that integration at the end is rather complicated. I've heard for integrating that format you use \ln{|{x + \sqrt{y^2 + x^2}\over y}|} This is very...
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    Calculating Potential Difference from Infinite Line Charge

    Hi Patrick, Thanks for such a lengthy reply. Once again it's very strange because some of these ideas were never introduced to us in class and now I feel a little angry because of that. :mad: I'd like to ask you about two things, namely the dq and the lambda. You see, I don't understand why...
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    Calculating Potential Difference from Infinite Line Charge

    Patrick: Now I am stuck again. I put in DN (DX) because I thought we have to integrate the formula with respect to X (since we're summing up an infinite amount of points on the X axis). I don't see where you got your DQ from though. And why would we want that as opposed to DX? Sorry for being...
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    Calculating Potential Difference from Infinite Line Charge

    Patrick, thanks, this makes a lot of sense! Would it be something like this then? \frac{q}{4 \pi \epsilon_0} \int^1_\infty \frac{1}{\sqrt{r^2 + n^2}}DN Thanks very much for the help! I think I'm getting on the right track now :) Edit: I can't seem to get it right in Latex but that should be...
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    Calculating Potential Difference from Infinite Line Charge

    Hi Patrick: I sincerely don't know what we're allowed to use. I would like to see the integral method for my own understanding, but if there is an easier way, I would probably use that in the exam (I am just trying to understand the concepts right now). As for proof. I think we just have to...
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    Calculating Potential Difference from Infinite Line Charge

    V(r) = \frac{q}{4 \pi \epsilon_0} \int^r_\infty \frac{1}{r} This is what I thought of, but it doesn't help because essentially it yields: \ln\frac{r}{\infty} = \ln0 which is undefined. :<
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    Calculating Potential Difference from Infinite Line Charge

    Lyuokdea, thanks so much for your help! This really clears up a few things in my head. Maybe you could just give me one or two more hints though. Essentially what I'm trying to get the potential due to the point charge at R to R+infinite and R to R-infinite. I would imagine integration would...
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    What is the Boolean Equation for This Karnaugh Map?

    Urgh, this is kinda bad but: Qd(QcQa' + QaX' + QbQc' + XQb') + Qa'Qb'Qc'Qd'X' I know it's not pretty, but it's something.
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    Calculating Potential Difference from Infinite Line Charge

    Calculating Potential from Infinite Line Charge Hi there, this is my first post and I hope you don't mind helping me out a bit because I'm really stuck. I'm doing computer science in university and the electrotechnology part can be a bit tricky for us. I have a basic understanding of...