Yes I was actually considering that, but I wasn't completely sure if I was justified in thinking the diagonal would be zero. You suggesting it gives me more confidence in it, so I'll try that route. Thanks.
I'm pretty sure there is some way to find separable solutions, because the assignment is only about Laplace's equation involving separable solutions. However, I just can't seem to figure out how to apply the BC's to find the form of the solutions. This first step is what I am stuck on.
Are my boundary conditions correct? It seems to me that either I don't have enough or perhaps the one on the diagonal is wrong because the subsequent equations for X(x), Y(y) and V don't seem to simplify enough when I plug the BC's in.
Homework Statement
Find the two-dimensional solution to Laplace's equation inside an isosceles right triangle. The boundary conditions are as is shown in the picture:
The length of the bottom and left side of the triangle are both L.
Homework Equations
Vxx+Vyy=0
V=X(x)Y(y)
From the image...
Homework Statement
A nonlinear spring has a temperature dependent force law,
F = -\frac{K}{T}(L-L_o)^3
At a temperature T = T_o and length L = L_o the specific heat at a constant length is C_L = C_o. What is the specific heat at T = T_o when the spring is stretched to length 2L_o...
I understand why the capacitor discharges, but I suppose my problem is with what happens before the voltage threshold. The lamp is parallel to the capacitor, so I figured the voltage difference of the power source would also be across the lamp, but that would immediately light it. Why isn't the...
As seen in the circuit diagram picture below, the Pearson-Anson relaxation circuit is often used to blink neon lamps. According to what I have read, the lamp does not permit a current until the capacitor reaches the voltage threshold, causing the gases in the lamp to ionize and a sudden current...
Yea I couldn't really understand what it meant either. I was hoping someone would be able to clarify that. I think you might be right and it changes the problem by adding an additional spring to the upper springs in series, but I'm not sure.
Homework Statement
A very stiff horizontal bar, supported by four identical springs, as shown in the figure below, is subjected to a center load of 100N. What load is applied to each spring?
Repeat the previous problem, except assume that the horizontal bar as configured is not rigid and...
I haven't been learning relativity for very long, which is why I wanted to know if the direction I was going was correct; and if it wasn't correct, I was hoping for some guidance.