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What is the voltage across R in the preceding problem Across X Knowing the current, calculate ER IR 2.43 10.0 24.3 V. Also, EX IX 2.43 40.0 97.2 V. If you add ER EX arithmetically, you get 24.3 V 97.2 V 121.5 V as the total across R and X. Again, the simple dc rule does not work here. The reason is the same as before.
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6-12 A parallel RX circuit. Notation is discussed in the text.
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Qiiz 301 If you want to study the geometrical details of the voltage and current vectors in series and parallel RX circuits, a good circuit theory text is recommended. One of the most important practical aspects of ac circuit theory involves the ways that reactances, and complex impedances, behave when you try to feed power to them. That subject will start off the next chapter.
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Refer to the text in this chapter if necessary. A good score is 18 correct. Answers are in the back of the book. 1. A coil and capacitor are connected in series. The inductive reactance is 250 , and the capacitive reactance is 300 . What is the net impedance vector, R jX A. 0 j550. B. 0 j50. C. 250 j300 D. 300 j250. 2. A coil of 25.0 H and capacitor of 100 pF are connected in series. The frequency is 5.00 MHz. What is the impedance vector, R jX A 0 j467. B. 25 j100. C. 0 j467. D. 25 j100. 3. When R 0 in a series RLC circuit, but the net reactance is not zero, the impedance vector: A. Always points straight up. B. Always points straight down. C. Always points straight towards the right. D. None of the above. 4. A resistor of 150 , a coil with reactance 100 and a capacitor with reactance 200 are connected in series. What is the complex impedance R jX A. 150 j100. B. 150 j200. C. 100 j200. D. 150 j100. 5. A resistor of 330 , a coil of 1.00 H and a capacitor of 200 pF are in series. What is R jX at 10.0 MHz A. 330 j199. B. 300 j201.
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302 RLC circuit analysis C. 300 D. 330 j142. j16.8.
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6. A coil has an inductance of 3.00 H and a resistance of 10.0 in its winding. A capacitor of 100 pF is in series with this coil. What is R jX at 10.0 MHz A. 10 j3.00. B. 10 C. 10 D. 10 j29.2. j97. j348. jB,
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7. A coil has a reactance of 4.00 . What is the admittance vector, G assuming nothing else is in the circuit A. 0 B. 0 j0.25. j4.00.
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C. 0 j0.25. D. 0 j4.00. 8. What will happen to the susceptance of a capacitor if the frequency is doubled, all other things being equal A. It will decrease to half its former value. B. It will not change. C. It will double. D. It will quadruple. j0.05 and jBC j0.03. What is 9. A coil and capacitor are in parallel, with jBL the admittance vector, assuming that nothing is in series or parallel with these components A. 0 j0.02. B. 0 j0.07. C. 0 j0.02. D. 0.05 j0.03. 10. A coil, resistor, and capacitor are in parallel. The resistance is 1 ; the capacitive susceptance is 1.0 siemens; the inductive susceptance is 1.0 siemens. Then the frequency is cut to half its former value. What will be the admittance vector, G jB, at the new frequency A. B. C. D. 1 j0. 1 jl.5. 1 jl.5. 1 j2.
Ions 303 11. A coil of 3.50 H and a capacitor of 47.0 pF are in parallel. The frequency is 9.55 MHz. There is nothing else in series or parallel with these components. What is the admittance vector A. 0 j0.00282. B. 0 j0.00194. C. 0 j0.00194. D. 0 j0.00758. 12. A vector pointing southeast in the GB plane would indicate the following: A. Pure conductance, zero susceptance. B. Conductance and inductive susceptance. C. Conductance and capacitive susceptance. D. Pure susceptance, zero conductance. 13. A resistor of 0.0044 siemens, a capacitor whose susceptance is 0.035 siemens, and a coil whose susceptance is 0.011 siemens are all connected in parallel. The admittance vector is: A. 0.0044 j0.024. B. 0.035 j0.011. C. 0.011 j0.035. D. 0.0044 j0.046. 14. A resistor of 100 , a coil of 4.50 H, and a capacitor of 220 pF are in parallel. What is the admittance vector at 6.50 MHz A. 100 j0.00354. B. 0.010 j0.00354. C. 100 j0.0144. D. 0.010 j0.0144. 15. The admittance for a circuit, G jX A. 50 j5.0. B. 0.495 j4.95. C. 50 j5.0. D. 0.495 j4.95. jB, is 0.02 j0.20. What is the impedance, R
16. A resistor of 51.0 , an inductor of 22.0 H and a capacitor of 150 pF are in parallel. The frequency is 1.00 MHz. What is the complex impedance, R jX A. 51.0 j14.9. B. 51.0 j14.9.
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