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282 Power and Resonance in Alternating-Current Circuits
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Just use the formula: L ft = 246v/fo = (246 0.800)/7.05 = 197/7.05 = 27.9 ft
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Refer to the text in this chapter if necessary. A good source is 18 or more correct. Answers are in the back of the book. 1. The power in a pure reactance is (a) radiated. (b) true. (c) imaginary. (d) apparent. 2. Which of the following is not an example of true power (a) Power in the form of heat, produced by dc flowing through a resistor (b) Power in the form of electromagnetic fields, radiated from a radio antenna (c) The product of the rms ac through a capacitor and the rms voltage across it (d) Power in the form of heat, produced by losses in an RF transmission line 3. Suppose the apparent power in a circuit is 100 W, and the imaginary power is 40 W. What is the true power (a) 92 W (b) 100 W (c) 140 W (d) It is impossible to determine from this information. 4. Power factor is equal to (a) apparent power divided by true power. (b) imaginary power divided by apparent power. (c) imaginary power divided by true power. (d) true power divided by apparent power. 5. Suppose a circuit has a resistance of 300 and an inductance of 13.5 H in series, and is operated at 10.0 MHz. What is the power factor (a) 0.334 (b) 0.999 (c) 0.595 (d) It cannot be determined from the information given.
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6. Suppose a series circuit has Z = 88.4 , with R = 50.0 . What is the power factor, expressed as a percentage (a) 99.9 percent (b) 56.6 percent (c) 60.5 percent (d) 29.5 percent 7. Suppose a series circuit has R = 53.5 , with X = 75.5 . What is the power factor, expressed as a percentage (a) 70.9 percent (b) 81.6 percent (c) 57.8 percent (d) 63.2 percent 8. The phase angle in an ac circuit is equal to (a) arctan (Z/R). (b) arctan (R/Z). (c) arctan (R/X). (d) arctan (X/R). 9. Suppose an ac ammeter and an ac voltmeter indicate that there are 220 W of VA power in a circuit that consists of a resistance of 50 in series with a capacitive reactance of 20 . What is the true power (a) 237 W (b) 204 W (c) 88.0 W (d) 81.6 W 10. Suppose an ac ammeter and an ac voltmeter indicate that there are 57 W of VA power in a circuit. The resistance is known to be 50 , and the true power is known to be 40 W. What is the absolute-value impedance (a) 50 (b) 57 (c) 71 (d) It is impossible to determine on the basis of this data. 11. Which of the following should be minimized in an RF transmission line (a) The load impedance (b) The load resistance (c) The line loss (d) The transmitter power
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284 Power and Resonance in Alternating-Current Circuits
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12. Which of the following does not increase the loss in a transmission line (a) Reducing the power output of the source (b) Increasing the degree of mismatch between the line and the load (c) Reducing the diameter of the line conductors (d) Raising the frequency 13. Which of the following is a significant problem that standing waves can cause in an RF transmission line (a) Line overheating (b) Excessive power loss (c) Inaccuracy in power measurement (d) All of the above 14. Suppose a coil and capacitor are in series. The inductance is 88 mH and the capacitance is 1000 pF. What is the resonant frequency (a) 17 kHz (b) 540 Hz (c) 17 MHz (d) 540 kHz 15. Suppose a coil and capacitor are in parallel, with L = 10.0 H and C = 10 pF. What is fo (a) 15.9 kHz (b) 5.04 MHz (c) 15.9 MHz (d) 50.4 MHz 16. Suppose you want to build a series-resonant circuit with fo = 14.1 MHz. A coil of 13.5 H is available. How much capacitance is needed (a) 0.945 F (b) 9.45 pF (c) 94.5 pF (d) 945 pF 17. Suppose you want to build a parallel-resonant circuit with fo = 21.3 MHz. A capacitor of 22.0 pF is available. How much inductance is needed (a) 2.54 mH (b) 254 H (c) 25.4 H (d) 2.54 H 18. A 1 4-wave section of transmission line is cut for use at 21.1 MHz. The line has a velocity factor of 0.800. What is its physical length in meters (a) 11.1 m (b) 3.55 m
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