Transcription of Chapter 12 Alternating-Current Circuits
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Chapter 12. Alternating-Current Circuits AC Sources .. 12-2. Simple AC 12-3. Purely Resistive 12-3. Purely Inductive 12-5. Purely Capacitive 12-7. The RLC Series Circuit .. 12-9. Impedance .. 12-12. Resonance .. 12-13. Power in an AC 12-14. Width of the 12-16. Transformer .. 12-17. Parallel RLC 12-19. 12-22. Problem-Solving Tips .. 12-24. Solved Problems .. 12-26. RLC Series Circuit .. 12-26. RLC Series Circuit .. 12-27. Resonance .. 12-28. RL High-Pass 12-29. RLC Circuit .. 12-30. RL Filter .. 12-33. Conceptual Questions.
The average value of current over one period can be obtained as: 0 000 0 11 2 () sin sin 0 TTT R RRR I t I t I t dt I t dt dt TTTT π ==∫∫ω =∫= (12.2.3) This average vanishes because 0 1 sin sin 0 T t t T ω= ∫ ωdt = (12.2.4) Similarly, one may find the following relations useful when averaging over one period: 12-4
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