times I have extolled the high quality of QST authors' knowledge and
H. Ward Silver writes the "Hands-On
Radio" column which usually features circuit and system design and
theory topics. It often includes, gasp, mathematics. His July 2013 article
is titled "Phasors, Part One." It promises to be a good series. The
last paragraph says, "There is a final way to describe the signal -
the exponential form in which it is represented as V ejΘ.
This form comes from the mathematics behind Euler's equation in which
the coordinates of our points are miraculously shown to be equivalent
to ejΘ=cosΘ +j sinΘ. The serious and
beautiful math behind this equation lies at the heart of much electrical
engineering and leads to the jaw-dropping Euler's identity: ejπ
= -1 which unites the two most widely used transcendental number (e
imaginary numbers (j), negation and unity. Not bad for a moving point
in a simple circle, huh?" Beautiful. After reading it Melanie asked
why my eyes were suddenly red. "Allergies," I explained.
Posted June 2013
RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling
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formulas and reference material while performing my work as an RF system and circuit
design engineer. The World Wide Web (Internet) was largely an unknown entity at
the time and bandwidth was a scarce commodity. Dial-up modems blazed along at 14.4 kbps
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