Retreiving potential from Poisson's equation

  • Thread starter Thread starter atti2te
  • Start date Start date
  • Tags Tags
    Potential
atti2te
Messages
1
Reaction score
0

Homework Statement



What's the best way to retrieve V from Poisson's equation?


\nabla^{2} V = -\frac{1}{\epsilon_o}\rho

Homework Equations






\nabla^{2} V = -\frac{1}{\epsilon_o}\rho

The Attempt at a Solution



Integrated twice
 
Physics news on Phys.org
Besides direct integration I'd suggest you look at the greens function for the Poisson equation.
 
Thank you for the reply. But we have not done Green's function for Poisson equation yet. Any other clue?
 

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Thread 'Help to convert units of a simple formula'

The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
View full post »

Similar threads

Density of a patch of an accretion disk
Replies
8
Views
1K
The potential of a sphere with opposite hemisphere charge densities
Replies
6
Views
3K
Different forms of fluid energy conservation equations
Replies
32
Views
3K
Confused about the nature of Laplace vs Poisson equation in BVP
Replies
11
Views
3K
Solve Bound Charge Question: Griffith's Book Example
Replies
4
Views
2K
From fluid energy conservation equation to the continuity equation
Replies
5
Views
2K
Charge density for a given potential
Replies
3
Views
10K
Electric field of an infinitely long wire with radius R
Replies
5
Views
2K
Temperature profile between two parallel plates
Replies
15
Views
4K
First order linearized Euler's equation for a small perturbation
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top