Sid Bertram's Publications

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Arithmetic and Beginning Science
Abstract:
This book provides my idea of how arithmetic should be taught. It uses a dial counter to introduce counting numbers and later uses such counters as adders to bring out the use of carries. Rulers are used to introduce decimal numbers; two rulers are used to add and subtract numbers. More advanced arithmetic concepts are introduced. A second chapter is intended to interest students in more advanced studies; it is devoted to introducing time and distance and measurements involving them.

Moving Charges and Their Targets
Abstract:
The mutual energy of a pair of charges can be obtained by integrating the mutual energy density over their fields. Each differential element of the charges is assumed to generate Huygens’ sources in both charge fields that communicate its state to other elements in their respective fields. As a charge moves toward a target charge, some Huygens’ rays in the target’s field coalesce to form a surrogate of the moving charge. The surrogate is closer to the target than the charge was when the surrogate was formed, so it can be observed even if the moving charge disappeared. The surrogate grows faster toward the target than the charge moves, so it has more energy than expected.

Electromagnetic Forces
Abstract:
It is assumed that electrostatic forces are developed in the charge fields, where the energy is, and that the fields are made up of elements that move randomly at the speed of light. The mutual energy developed in the overlapping fields of two charges changes when one charge is moving. When a charge accelerates induced voltages are developed since the energy is changing. When two interacting charges are in motion the cross-product terms in the energy equations lead to the magnetic forces while the square terms are canceled by the effects of the ions left behind in the conductors by the moving charges. The derivations are classical.

Comments on the Electromagnetic Forces paper
Abstract:
Two conflicting comments on Sid's Electromagnetic Forces paper with a number of appropriate aphorisms.

Network Matching and Attenuation Nomograph
Abstract:
In the summer of 1933, I did my first original work. A radio class had introduced me to the problem of "terminating transmission lines to eliminate echoes." Since the mathematics required was awkward, I decided to make a chart that would enable accurate termination calculations. The resulting "Alignment Chart" was published in the August 1935 issue of Radio News.

Rotational Functions
Abstract:
It is shown that adding an appropriate imaginary excitation, that converts sinusoidal motions to rotational motions, greatly simplifies the mathematics and justifies the use of the j operator.

Van de Graaff generator with lightning rod
Abstract:
The van de Graaff generator consists of a belt of very low conductivity that carries electric charges from a source near its base to a sphere where they collect until they form a voltage sufficient to arc to a nearby grounded electrode. A thumbtack placed on the sphere will cause the charge to flow out from the sphere preventing the discharge, so it serves as a lightning rod.

My Life as an Engineer
Abstract:
Story of my life from birth to 2008, concentrating on my contributions as an engineer.

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