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The Quasistationary Approximation

The Quasistationary Approximation. Ampere’s Law + Faraday’s Law. time x velocity of light >> size. Application in: electrical engineering, radio, TV, audio, …. Inductance. inductive coupling between two circuits. Example 7.10. Find the mutual inductance. Mutual inductance?.

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The Quasistationary Approximation

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  1. The Quasistationary Approximation Ampere’s Law + Faraday’s Law time x velocity of light >> size Application in: electrical engineering, radio, TV, audio, …

  2. Inductance inductive coupling between two circuits

  3. Example 7.10 Find the mutual inductance.

  4. Mutual inductance?

  5. Self-inductance L self-inductance Unit: Henry 1H=1Vs/A The change of B induces a back-emf in the loop that generates the magnetic field: self-induction.

  6. Example 7.11 Self-inductance of a toroidal coil with recangular cross section, which carries a total of N turns.

  7. The transformer

  8. Long distant line Distribution within a neighborhood Low current and high voltage used.

  9. Example 7.12

  10. C Oscillator Circuits

  11. AC C Driven Oscillator

  12. Driven oscillator with different initial conditions.

  13. Resonance

  14. 1930 Self-excited circuit Radio tubes

  15. A shipboard radio, circa 1920. Exposed at the operator’s left are the inductance coils and capacitor plates of the tuning circuit.

  16. microchip transistors

  17. http://hyperphysics.phy-astr.gsu.edu/hbase/electric/accircon.html#c1http://hyperphysics.phy-astr.gsu.edu/hbase/electric/accircon.html#c1

  18. Multi-loop Circuits Kirchhoff’s rules: • When any closed-circuit loop is traversed, the algebraic sum • of the changes in the potential must be equal to zero. 2. At any junction point in a circuit where the current can divide, the sum of the currents into the junction must equal the sum of the currents out of the junction.

  19. DC circuit Find the currents.

  20. AC circuit Find the currents.

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