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— CH. 1 · THE SINE WAVE AND THE SKIN —

Alternating current

~5 min read · Ch. 1 of 6
6 sections
  • A green curve traces the horizontal axis of time while the vertical line measures current or voltage. This visual represents alternating current, an electric flow that periodically reverses direction and changes its magnitude continuously with time. Most power circuits use a sine wave where the positive half-period corresponds to the forward direction of the current. The full cycle completes when the wave returns to zero before repeating the pattern again.

    In 1832, French instrument maker Hippolyte Pixii constructed the first alternator based on principles discovered by Michael Faraday. This early device produced pulses rather than a smooth sine wave until later modifications improved the output. Modern conductors exhibit a phenomenon called skin effect where high-frequency currents avoid the wire's center. Electric charge acceleration creates electromagnetic waves that push the current toward the outer surface of the conductor.

    At 60 hertz, the skin depth of copper is approximately 8.57 millimeters. Thick cables used for high-current transmission often become hollow to reduce mass and cost since the interior metal carries little electricity. This tendency increases effective resistance because the usable cross-section shrinks significantly compared to direct current flow.

  • Electrical energy travels efficiently as alternating current because transformers can increase or decrease voltage levels without complex mechanical parts. Power lines operate at hundreds of kilovolts to minimize heat loss caused by wire resistance during long-distance transport. The formula for power loss shows that halving the current reduces energy waste by a factor of four even if the total power remains constant.

    In autumn 1884, three Hungarian engineers named Károly Zipernowsky, Ottó Bláthy, and Miksa Déri determined open-core devices were impractical for reliable voltage regulation. They patented closed magnetic circuits where copper windings wrapped around iron cores in either toroidal or shell forms. These ZBD transformers proved 3.4 times more efficient than earlier open-core bipolar designs from Gaulard and Gibbs.

    The Ganz factory shipped the world's first five high-efficiency AC transformers in 1884 with specifications including 1,400 watts and 40 hertz frequency. A single unit operated at 120 volts input and 72 volts output with a ratio of 1.67 to 1. Parallel shunt connections allowed supply network voltages to reach 140 to 2000 volts while keeping utilization loads safe at 100 volts initially.

  • Hungarian engineer Guillaume Duchenne announced in 1855 that alternating current was superior to direct current for triggering muscle contractions during electrotherapy treatments. This marked the earliest recorded practical application of the technology before widespread power distribution existed. By 1878, the Ganz factory in Budapest began manufacturing equipment for electric lighting and installed over fifty systems across Austria-Hungary by 1883.

    Westinghouse engineer William Stanley demonstrated a lighting system in Great Barrington in March 1886 using a Siemens generator. His setup converted 500 volts into 3000 volts then stepped it down to 500 volts through six Westinghouse transformers. The demonstration successfully powered thirty 100-volt incandescent bulbs located in twenty shops along the main street of the town.

    In May 1885, Deri, Blathy, and Zipernowski held a large-scale demonstration at the Hungarian National Exhibition in Budapest. Their system utilized 75 transformers connected in parallel to supply 1,067 incandescent Edison lamps from an AC generator providing 1,350 volts. This prototype became widely regarded as the foundation of modern AC lighting systems.

  • Thomas Edison launched a public campaign called the war of currents in late 1887 to discredit alternating current as too dangerous. He was a staunch proponent of direct current systems which did not suffer from the voltage regulation issues plaguing early AC networks. The spread of Westinghouse and other AC systems triggered this pushback against the new technology gaining ground across the United States.

    Alternating current gained further viability in 1888 with the introduction of functional induction motors invented independently by Galileo Ferraris and Nikola Tesla. Tesla's design was licensed by Westinghouse for use in American markets while Mikhail Dolivo-Dobrovolsky developed three-phase forms in Germany. Jonas Wenström worked on similar systems in Sweden though Brown favored two-phase configurations.

    The Ames Hydroelectric Generating Plant constructed in 1890 stood among the first hydroelectric alternating current power plants built globally. A long-distance transmission line sent power fourteen miles downriver from Willamette Falls to downtown Portland for street lighting that same year. These projects proved electricity could travel significant distances without prohibitive energy loss.

  • Most electric power is generated at either 50 hertz or 60 hertz depending on the country where it originates. Japan maintains a mixture of both frequencies within its national grid due to historical development patterns. Low frequency eases the design of electric motors used for hoisting, crushing, and rolling applications while causing noticeable flicker in incandescent light bulbs.

    Original Niagara Falls generators were built to produce 25 hertz power as a compromise between traction needs and heavy induction motor requirements. Most residential customers converted to 60 hertz by the late 1950s although some industrial clients retained 25 hertz service into the early 21st century. European rail systems still utilize 16.7 hertz power in countries like Austria, Germany, Norway, Sweden, and Switzerland today.

    Offshore military operations textile industries marine vessels aircraft and spacecraft sometimes use 400 hertz for benefits including reduced apparatus weight or higher motor speeds. Computer mainframe systems often ran on 400 hertz or 415 hertz to reduce ripple while using smaller internal AC to DC conversion units.

  • Audio signals carried on electrical wires represent examples of alternating current that carry information such as sound or images through modulation techniques. Telephone signals operate at about 3 kilohertz close to baseband audio frequencies while cable television currents alternate at tens to thousands of megahertz. These high frequencies resemble electromagnetic wave frequencies used to transmit similar data over airwaves without physical cables.

    Twisted pair cables reduce losses from electromagnetic radiation up to approximately 1 gigahertz by ensuring equal but opposite currents flow through paired wires. Coaxial cables contain a conductive wire inside a tube separated by dielectric layers allowing fields to stay contained within the structure. Waveguides function similarly but lack inner conductors carrying return currents since they rely on guided electromagnetic fields instead.

    Fiber optics serve as dielectric waveguides for frequencies greater than 200 gigahertz where traditional voltage concepts no longer apply. Surface currents flowing on lossy metal walls cause power dissipation in waveguides making them unfeasible at very high frequencies despite their mechanical feasibility.

Common questions

What is alternating current and how does it behave?

Alternating current is an electric flow that periodically reverses direction and changes its magnitude continuously with time. Most power circuits use a sine wave where the positive half-period corresponds to the forward direction of the current.

Who invented the first alternator and when was it built?

French instrument maker Hippolyte Pixii constructed the first alternator in 1832 based on principles discovered by Michael Faraday. This early device produced pulses rather than a smooth sine wave until later modifications improved the output.

Why do thick cables used for high-current transmission often become hollow?

Thick cables used for high-current transmission often become hollow to reduce mass and cost since the interior metal carries little electricity due to the skin effect. At 60 hertz, the skin depth of copper is approximately 8.57 millimeters which shrinks the usable cross-section significantly compared to direct current flow.

When did Hungarian engineers patent closed magnetic circuit transformers?

In autumn 1834 three Hungarian engineers named Károly Zipernowsky, Ottó Bláthy, and Miksa Déri determined open-core devices were impractical for reliable voltage regulation. They patented closed magnetic circuits where copper windings wrapped around iron cores in either toroidal or shell forms.

How does alternating current enable efficient long-distance power transmission?

Electrical energy travels efficiently as alternating current because transformers can increase or decrease voltage levels without complex mechanical parts. Power lines operate at hundreds of kilovolts to minimize heat loss caused by wire resistance during long-distance transport.