Recent content by mdwerner

  1. M

    Deriving Maxwell's Relation with Thermodynamic Variables

    I don't understand, what do you mean by the differentials of T and 1 / CV ? A derivative? if so, with respect to what? One thing I had considered would be to multiply this function by \frac{\partial S}{\partial T} but that seems to jumble the left side of the equation...
  2. M

    Deriving Maxwell's Relation with Thermodynamic Variables

    Homework Statement Derive the following general relation : \left(\frac{\partial T}{\partial V}\right)_{S} = - \frac{1}{C_{V}} T \left(\frac{\partial p}{\partial T}\right)_{V} Homework Equations Maxwell's Relation : \left(\frac{\partial T}{\partial V}\right)_{S} = - \left(\frac{\partial...
  3. M

    Using Separation of Variables to find potential inside of a sphere

    What do you mean "remember how all the coefficents relate to each other..." ? I am unaware of any relationship between the coefficients. Also, I don't see how using the cosh helps - My problem is that I don't understand how the last boundary condition that I listed can be applied. I...
  4. M

    Using Separation of Variables to find potential inside of a sphere

    Homework Statement A cubical box (sides of length a) consists of five metal plates, which are welded together and grounded (Fig 3.23). The top is made of a separate sheet of metal, insulated from the others, and held at a constant potential V0. Find the potential inside the box...
  5. M

    When to use Laplace's or Poisson's equation for calculating potential

    Homework Statement The problem that I'm having is simply understanding the difference in when to use the laplace's equation vs the poisson's equation. Here is an example of a question : "A rectangular pipe, running parallel to the z-axis (from -∞ to + ∞), has three grounded metal sides, at y =...
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