Recent content by vogtster

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    Time derivative jump of the electric/magnetic field

    So I just wanted to see if anyone could offer some suggestions. So in my mind this seems impossible, in the case of electric field a jump in time derivative of that field would indicated in my mind that electric charge was either introduced or removed from the system instantaneously which would...
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    Getting the magnetic field as a function of current

    Howdy, So, I'm curious, is there a general relationship between current input into an electromagnetic and the magnetic field that it generates in space? The trivial example is wrapping a wire around a rod, then sending a current through it which causes a magnetic field. My set up is a simple...
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    Boundary condition for electrostatics problem - found issue?

    Hi mfb, I do not believe it would converge, or at the very best converge slowly, the underlying assumption would be that the matrix is well conditioned. Let's assume we did some sort of finite differencing and obtained an $$Ax=b$$ system. This inconsistency in the equations, will cause...
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    Boundary condition for electrostatics problem - found issue?

    Hey mfb, Thanks for the response. I guess I'm in the game of solving these problems by numerical methods. I suppose my worry right now is if I implement this with $$\epsilon_b \neq \epsilon_c$$, then there is an underlying inconsistency in the system. You know how I can get around this?
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    Boundary condition for electrostatics problem - found issue?

    Hey everyone Just a picture of my configuration. The assumption here is $$\epsilon_a,\epsilon_b,\epsilon_c$$ are different from one another. Really the interest of this problem is to find the scalar potential $$\phi$$, such that $$\nabla^2 \phi = 0$$. So now my question, about jump...
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