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But the waves are electromagnetic, rather than acoustic Such cavities, also called cavity resonators, have reasonable physical dimensions at frequencies above about 150 MHz Below this frequency, a cavity can be made to work, but it is long and unwieldy Like crystals, cavities resonate at a fundamental frequency fo, and also at harmonic frequencies Sections of Transmission Line When a transmission line is cut to 1 4 wavelength, or to any whole-number multiple of this, it behaves as a resonant circuit The most common length for a transmission-line resonator is a 1 4 wavelength Such a piece of transmission line is called a quarter-wave section When a quarter-wave section is short-circuited at the far end, it acts like a parallel-resonant LC circuit, and has a high resistive impedance at the resonant frequency fo.

18. You have an unlimited supply of 1-W, 1000- resistors, and you need a 500resistance rated at 7 W or more. This can be done by assembling: A. Four sets of two 1000in parallel. B. Four sets of two 1000in series. resistors in series, and connecting these four sets resistors in parallel, and connecting these four sets

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When it is open at the far end, it acts as a series-resonant LC circuit, and has a low resistive impedance at fo In effect, a quarterwave section converts an ac short circuit into an ac open circuit and vice versa, at a specific frequency fo The length of a quarter-wave section depends on the desired fo It also depends on how fast the electromagnetic energy travels along the line This speed is specified in terms of a velocity factor, abbreviated v The value of v is given as a fraction of the speed of light Typical transmission lines have velocity factors ranging from about 066 to 095 (or 66 percent to 95 percent) This factor is provided by the manufacturers of prefabricated lines such as coaxial cable.

Summary

C. A 3 3 series-parallel matrix of 1000- resistors. D. Something other than any of the above. 19. You have an unlimited supply of 1-W, 1000- resistors, and you need to get a 3000- , 5-W resistance. The best way is to: A. Make a 2 2 series-parallel matrix. B. Connect three of the resistors in parallel. C. Make a 3 3 series-parallel matrix. D. Do something other than any of the above. 20. Good engineering practice usually requires that a series-parallel resistive network be made: A. From resistors that are all very rugged. B. From resistors that are all the same. C. From a series combination of resistors in parallel. D. From a parallel combination of resistors in series. A good score is at least 18 correct answers. The answers are in the back of the book.

If the frequency in megahertz is fo and the velocity factor of a line is v, then the length L ft of a quarter-wave section of transmission line, in feet, is given by this formula:.

IN THIS CHAPTER, YOU LL LEARN MORE ABOUT DC CIRCUITS AND HOW THEY behave. These principles apply to almost all circuits in utility ac applications, too. Sometimes it s necessary to analyze networks that don t have obvious practical use. But even a passive network of resistors can serve to set up the conditions for operation of a complex electrical device such as a radio amplifier or a digital calculator, by providing specific voltages or currents.

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