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In electrostatics, the coefficients of potential determine the relationship between the charge and electrostatic potential (electrical potential), which is purely geometric: where Qi is the surface charge on conductor i. The coefficients of potential are the coefficients pij. φi should be correctly read as the potential on the i-th conductor, and hence "" is the p due to charge 1 on conductor 2. Note that: 1. * pij = pji, by symmetry, and 2. * pij is not dependent on the charge. The physical content of the symmetry is as follows:

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  • Coefficients of potential (en)
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  • In electrostatics, the coefficients of potential determine the relationship between the charge and electrostatic potential (electrical potential), which is purely geometric: where Qi is the surface charge on conductor i. The coefficients of potential are the coefficients pij. φi should be correctly read as the potential on the i-th conductor, and hence "" is the p due to charge 1 on conductor 2. Note that: 1. * pij = pji, by symmetry, and 2. * pij is not dependent on the charge. The physical content of the symmetry is as follows: (en)
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  • In electrostatics, the coefficients of potential determine the relationship between the charge and electrostatic potential (electrical potential), which is purely geometric: where Qi is the surface charge on conductor i. The coefficients of potential are the coefficients pij. φi should be correctly read as the potential on the i-th conductor, and hence "" is the p due to charge 1 on conductor 2. Note that: 1. * pij = pji, by symmetry, and 2. * pij is not dependent on the charge. The physical content of the symmetry is as follows: if a charge Q on conductor j brings conductor i to a potential φ, then the same charge placed on i would bring j to the same potential φ. In general, the coefficients is used when describing system of conductors, such as in the capacitor. (en)
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