1 / 24

Faraday’s Law

Faraday’s Law. Faraday’s law cannot be derived from the other fundamental principles we have studied. Formal version of Faraday’s law:. Sign: given by right hand rule. Differential form of Faraday’s law:. c url(. Two Ways to Produce Changing . Two ways to produce curly electric field:

rozene
Télécharger la présentation

Faraday’s Law

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Faraday’s Law Faraday’s law cannot be derived from the other fundamental principles we have studied Formal version of Faraday’s law: Sign: given by right hand rule Differential form of Faraday’s law: curl(

  2. Two Ways to Produce Changing  Two ways to produce curly electric field: 1. Changing B 2. Changing A

  3. Inductance For long solenoid: R emfbat emfcoil Constant voltage – constant I, no curly electric field. Increase voltage:dB/dt is not zero  emf Change current at rate dI/dt: (one loop)

  4. Inductance ENC EC R emfbat R emfind emfbat emfcoil Increasing I  increasing B L – inductance, or self-inductance

  5. Inductance ENC EC L R emfbat emfind Unit of inductance L: Henry = Volt.second/Ampere Increasing the current causes ENC to oppose this increase

  6. Inductance: Decrease Current ENC EC R L emfbat emfind Conclusion: Inductance resists changes in current Orientation of emfind depends on sign of dI/dt

  7. Magnetic Field Energy Density? L I2

  8. Field Energy Density Electric and magnetic field energy density:

  9. Current in RL Circuit If t is very long:

  10. Current in RL Circuit Current in RL circuit: If t is zero:

  11. Time Constant of an RL Circuit Current in RL circuit: Time constant: time in which exponential factor become 1/e

  12. Current in an LC Circuit a=0

  13. Current in an LC Circuit Current in an LC circuit Period: Frequency:

  14. Non-ideal LC Circuit

  15. Energy in an LC Circuit Initial energy stored in a capacitor: At time t= :Q=0 1/4 of a period At time t=0:Q=Q0 System oscillates: energy is passed back and forth between electric and magnetic fields.

  16. Energy in an LC Circuit At time t= : What is maximum current? At time t=0:

  17. LC Circuit and Resonance Radio receiver: Frequency:

  18. Two Bulbs Near a Solenoid Varying B is created by AC current in a solenoid What is the current in this circuit? Advantage of using AC:Currents and emf ‘s behave as sine and cosine waves.

  19. Two Bulbs Near a Solenoid Add a thick wire: I1 Loop 1 I2 Loop 2 I3 Loop 1: Loop 2: Node:

  20. Two Bulbs Near a Solenoid Add a thick wire: I1 Loop 1 I2 Loop 2 I3 Loop 1: Loop 2: Node:

  21. Exercise

  22. Exercise

More Related