Many
times I have extolled the high quality of QST authors' knowledge and
writing skills.
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 ej^{Θ}.
This form comes from the mathematics behind Euler's equation in which
the coordinates of our points are miraculously shown to be equivalent
to ej^{Θ}=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: e^{jπ}
= -1 which unites the two most widely used transcendental number (e
and π),
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

Posted June 2013

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