00:01
Hi, this is a question based on finding the potential.
00:03
So here we have del square v is equal to 0 by laplace equation.
00:08
So now we can write this as it is del square v by del x square.
00:12
So it is in two dimensions.
00:13
So del square v by del y square is equal to 0.
00:17
So we can assume v as it is function of x and function of y.
00:23
So then we have y into dou square x by dou x square plus x into dou square y by dou x square is equal to 0.
00:33
So divide so multiply or dividing by y by x we have dou square x divided by dou x square.
00:46
So dou square x divided by dou x square.
00:49
So this is capital x.
00:50
Here also it's capital x.
00:53
This is capital y.
00:55
So now we have this is 1 by x into dou square x by dou x square plus 1 by y into dou square y by dou y square is equal to 0.
01:05
So now we can take it as so we can have 1 by x into dou square x by dou x square is equal to some constant k.
01:15
So we have dou square x by so capital x by dou x square is equal to kx.
01:22
So x has the solution...