Electromagnetic Theory for Complete Idiots (Electrical Engineering for Complete Idiots) by SMITH DAVID

Author:SMITH, DAVID [SMITH, DAVID]
Language: eng
Format: epub
Published: 2020-06-29T16:00:00+00:00

This is almost the Electrical Field intensity function, except for the negative sign and the missing radial unit vector. But that can be taken care of by simply multiplying both sides of the equation by the negative sign and the radial unit vector. Therefore,

Now you must remember that both V and r are both functions of x, y and z. So we can write this whole thing in terms of the components along x, y and z direction as follows,

Even without the derivation, we already know that the gradient operator converts a scalar function to a vector function. So there you have it, the Electric field intensity is the negative gradient of the Electric potential .

5.7 ELECTRIC DIPOLE

An electric dipole is nothing but a pair of point charges of equal magnitude and opposite polarity separated by a small distance. Electric dipoles deserve special attention simply because dipoles are much more common than isolated charges in the real world.

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