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Lecture 10: Inductance & Capacitance Nilsson 6.1-6.5

Lecture 10: Inductance & Capacitance Nilsson 6.1-6.5. ENG17 (Sec. 1): Circuits I Summer 1 2014. July 8, 2014. Overview. Inductors Capacitors Series-Parallel L/C Mutual Inductance Self Inductance Energy Stored. Inductance in the Real World. What Does an Inductor Look Like?.

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Lecture 10: Inductance & Capacitance Nilsson 6.1-6.5

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  1. Lecture 10: Inductance & CapacitanceNilsson 6.1-6.5 ENG17 (Sec. 1): Circuits I Summer 1 2014 July 8, 2014

  2. Overview • Inductors • Capacitors • Series-Parallel L/C • Mutual Inductance • Self Inductance • Energy Stored

  3. Inductance in the Real World

  4. What Does an Inductor Look Like?

  5. What Does an Inductor Do? • Inductor: electrical component that opposes any change in electrical current • Associates electrical current and magnetic fields • Magnetic field generated by charge in motion(i.e., current) • If current changes wrt time, mag field changes wrt time • Varying mag field results in voltage in linked conductor

  6. Add’l Note • Inductors can store energy through the mag fields • Used in spark plugs • Inductors do not generate energy, so they are still passive devices

  7. Inductors in Circuits Symbol: L Units: [H] for henrys = [Wb/A]

  8. Determining Voltage

  9. Current in Inductor

  10. Power & Energy in Inductor

  11. Overview • Inductors • Capacitors • Series-Parallel L/C • Mutual Inductance • Self Inductance • Energy Stored

  12. Capacitance in the Real World

  13. What Does a Capacitor Look Like?

  14. What Does a Capacitor Do? • Capacitor: electrical component that consists of 2 conductors separated by dielectric • “Stores” electric charge (like a battery) • Associated with electric fields, due to separation of charge (voltage) • If voltage varies with time, E-field varies with time • Varying E-field generates displacement current in space occupied by field • Capacitance relates displacement current to voltage

  15. Capacitors in Circuits Symbol: C Units: [F] for farads = [C/V]

  16. Capacitor Voltage, Power, & Energy

  17. Example

  18. Example Obtain the energy stored in each capacitor under DC conditions.

  19. Example Under DC conditions, find i, vc, and iL. Also, find the energy stored in the capacitor and inductor.

  20. Overview • Inductors • Capacitors • Series-Parallel L/C • Mutual Inductance • Self Inductance • Energy Stored

  21. Inductors Series-Parallel Parallel Series

  22. Capacitors Series-Parallel Parallel Series

  23. Example

  24. Overview • Inductors • Capacitors • Series-Parallel L/C • Mutual Inductance • Self Inductance • Energy Stored

  25. Magnetically Coupled Coils

  26. Self- and Mutual-Inductance

  27. Dot Convention

  28. Mesh Current

  29. Overview • Inductors • Capacitors • Series-Parallel L/C • Mutual Inductance • Self Inductance • Energy Stored

  30. Self Inductance

  31. Mutual Inductance i.t.o. Self Inductance

  32. Overview • Inductors • Capacitors • Series-Parallel L/C • Mutual Inductance • Self Inductance • Energy Stored

  33. Energy Stored in Magnetically-Coupled Coils

  34. Recap • Inductors • Capacitors • Series-Parallel L/C • Mutual Inductance • Self Inductance • Energy Stored

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