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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 1 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 ...
Choosing the magnitude of E for y , we have , by straightforward calculation with ( 9.95 ) , eller os ® ) cos a + cos Jl ( ka ) y ( x ) - ik a'E . ( 9.111 ) 2 kαξ as the scalar equivalent of ( 9.102 ) . The power radiated per unit solid ...
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
6 other sections not shown