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6:51 AM
@MartinSleziak I have added some tags - of course, feel free to make any improvements to the choice of tags.
4
Q: How to obtain the analytic representation of the given infinite series?

Asit SrivastavaThis series is given in Griffiths Introduction to Electrodynamics chapter 3 in an example explaining seperation of variables. $$V(x,y) = \frac{4V_0}{\pi} \sum_{n=1,3,5\ldots} \frac{1}{n}e^{-n\pi x/a}\sin(n\pi y/a)$$ $$V(x,y) = \frac{2V_0}{\pi} \tan^{-1}\left(\frac{\sin(\pi y/a)}{\sinh(\pi x...

 

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