I don't know how to build up Fourier series for this problem. I tried several times but no results. Can any body help me.(adsbygoogle = window.adsbygoogle || []).push({});

Consider the 2-d Laplace equation for the potential V(x,y) in the region inside

an empty square whose sides lie on the lines x = 0, x = a , y = 0, and y = a, respectively.

The sides at x = a , y = 0, and y = a are grounded, and

V(0,y) = C[itex]_{1}[/itex]sin[itex]\frac{(\pi)y}{a}[/itex] + C[itex]_{2}[/itex]sin[itex]\frac{2(\pi)y}{a}[/itex]

where C1 and C2 are constants

(a) Find V(x,y) everywhere inside the square.

Hint: use the trivial solution for X(x) with X(x)=0 at x=a

(b) Calculate the potential for C1=100V, C2=50V in the middle of the box. Do you find

any dependence on the box size?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Electrodynamics (Fourier)

**Physics Forums | Science Articles, Homework Help, Discussion**