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Capacitance matrix is diagonally dominant

I have heard of the following claim “the capacitance matrix of an isolated system of conductors is diagonally dominant” but I couldn’t find a way of proving it myself or any reference for that matter. ...
Matteo Menghini's user avatar
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Why do two infinite planes contribute to Electric Field but not two surfaces in co-axial cylinder

I understand why the electric field between two infinite planes is $\frac{\sigma}{\epsilon_0}{\vec{e_z}}$. Both planes contribute to the field - the upper positive charged plane "pushes" ...
ludicrous's user avatar
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Questions about Maxwell capacitance matrix and reference point selection

Let's consider a system of n conductors. If I'm not mistaken, the Maxwell capacitance matrix tells us that the following system of equations applies: \begin{align} Q_1 &= C_{11}V_1 + C_{12}V_{12}...
wolfofuniverse's user avatar
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Why should we use good conductors as electrodes of a capacitor?

I was asked if and why why should the electrodes of a capacitor should be good electrical conductors. It seemed obvious to me that if I want to form a Helmholtz double layer (because that's what ...
cinico's user avatar
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Charging a capacitor

Below is an excerpt from a physics textbook: One common way to charge a capacitor is to connect these two wires to opposite terminals of a battery. Once the charges $Q$ and $-Q$ are established on ...
Dave Clifford's user avatar