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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:

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Faraday’s Law

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  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:

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