baltimorebest
Oct10-10, 07:20 PM
1. The problem statement, all variables and given/known data
Consider a box that has a top and bottom at a/2 and –a/2, while the sides are located at –b/2 and +b/2. Also, the top and bottom are at potential V0=100V and the sides have V=0. You will need to use the separation of variables technique.
1) Find the general solution using standard methods.
2) Use the given boundary conditions to solve for the solution for this particular geometry.
3) Graph the potential as a function of x/b for y/a=1/2 as a function of y/a for
x/b=0. Also do it for x/b at y/a=0,1/4 and for y/a at x/b=1/2, 1.
2. Relevant equations
3. The attempt at a solution
I need help with the majority of this problem. My professor gave us the hint of using separation of variables, and she also gave us an example in the book to follow. However, I am still confused on how to do it. As far as the third part of this question, I don't really understand the question. Please help me, and thanks ahead of time.
Consider a box that has a top and bottom at a/2 and –a/2, while the sides are located at –b/2 and +b/2. Also, the top and bottom are at potential V0=100V and the sides have V=0. You will need to use the separation of variables technique.
1) Find the general solution using standard methods.
2) Use the given boundary conditions to solve for the solution for this particular geometry.
3) Graph the potential as a function of x/b for y/a=1/2 as a function of y/a for
x/b=0. Also do it for x/b at y/a=0,1/4 and for y/a at x/b=1/2, 1.
2. Relevant equations
3. The attempt at a solution
I need help with the majority of this problem. My professor gave us the hint of using separation of variables, and she also gave us an example in the book to follow. However, I am still confused on how to do it. As far as the third part of this question, I don't really understand the question. Please help me, and thanks ahead of time.