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However , itis often simpler to deal with scalar rather than vector functions of position , and then to derive the vector quantities at the end if necessary ( see below ) . 1.5 Another Equation of Electrostatics and the Scalar Potential ...
1.3 si In ( 1.15 ) the electric field ( a vector ) is derived from a scalar by the gradient operation . Since one function of position is easier to deal with than three , it is worth while concentrating on the scalar function and giving ...
16 Multipole Fields In Chapters 3 and 4 on electrostatics the spherical harmonic expansion of the scalar potential was used extensively for problems possessing some symmetry property with respect to an origin of coordinates .
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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