Thread: What is the solution of PDE given below?

From the above figure,

∇.(∇∅)=0

i.e.

Given boundary conditions:
$\displaystyle \displaystyle \frac{\partial \varphi}{\partial n} = 0$ (normal direction)


$\displaystyle \varphi=0 $ at grounded electrode
$\displaystyle \varphi=\varphi( t)$ at upper electrode


Now how can I solve?

I have tried as follows using separation of variable-

Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w

Originally Posted by bdcrown007

Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w

Don't bump unless you have relevant information or work to contribute to problem. Someone will get to it when they can.

ok, thank you