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Faraday's Law and Ampère-like Laws: Experiments and Applications

This outline covers Faraday's law, Ampère-like laws, mutual inductance, inductors, and magnetic field energy. Explore the experiments, examples, and calculations related to these concepts.

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Faraday's Law and Ampère-like Laws: Experiments and Applications

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  1. §7.2 Faraday’s law Christopher Crawford PHY 311 2014-04-25

  2. Outline • Faraday’s law – THREEexperiments, one result • EMF, Lenz’ law, special relativity • Examples: AC generator, solenoid & ring, SC levitation • Differential form – THREE Ampère-like laws, one form • Magnetic vector potential: potential momentum • Mutual inductance – transformers, inductors • Example: overlapping solenoids • Inductor – THREE electrical devices, one calculation • Example: L–R circuit • Magnetic field energy – back EMF or “electrical inertia” • Compare: electrical field energy

  3. Faraday’s law – THREE experiments

  4. Example: AC generator

  5. Example: solenoid and ring • What is I(t) in the ring? • Which direction? • Levitation of ring • Permanent for superconductors

  6. THREE Ampère-like laws Ampère’s law Vector potential Faraday’s law • Relation between E and A: will need to revisit electric potential!

  7. Mutual Inductance • Overlapping solenoid and ring: mutual inductance M • Self-inductance L

  8. Inductance – 1 of THREE components Capacitor Resistor Inductor • Each the ratio of FLUX / FLOW • Units: • Complex impedance:

  9. Example – LR-circuit

  10. Magnetic field energy • Work against the “back-EMF” is stored in the magnetic field • It acts as “electrical inertia” to keep current moving

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