Sunday, 19 November 2017

electrostatics - Coulomb's law with an r3, not r2, in the denominator




I am reading an older physics book that my professor gave me. It is going over Coulomb's law and Gauss' theorem. However, the book gives both equations with an r3, not r2, in the denominator. Can somebody please explain why it is given as r^3? An image is attached for reference.


Also for equation 1-24, can somebody please explain how the middle side is equal to the right side with the del operator?


enter image description here



Answer



It does give "Coulomb's law" with 1r3, it gives it in its proper vectorial form Err3

which, when taking the absolute values, yields the form you are probably more familiar with E1r2
since |r|=r.


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