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Analog electronic circuits are those in which current or voltage may vary continuously with time to correspond to the information being represented.
Until 1950 this field was called "radio technology" because its principal application was the design and theory of radio transmitters, receivers, and vacuum tubes.
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Such considerations typically become important for circuit boards at frequencies above a GHz; integrated circuits are smaller and can be treated as lumped elements for frequencies less than 10 10GHz or so.