Transcription of Chapter 12 Alternating-Current Circuits
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Chapter 12 Alternating-Current Circuits
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 .. 12-35. Additional Problems .. 12-36. Reactance of a Capacitor and an Inductor .. 12-36. Driven RLC Circuit Near 12-36. RC Circuit .. 12-37. Black 12-37. Parallel RL 12-38. LC 12-39. Parallel RC Circuit .. 12-39. Power Dissipation .. 12-40. FM Antenna .. 12-40. Driven RLC Circuit .. 12-41. 12-1. Alternating-Current Circuits AC Sources In Chapter 10 we learned that changing magnetic flux can induce an emf according to Faraday's law of induction.
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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