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Hint on Prob. 17.16: PowerPoint Presentation
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Hint on Prob. 17.16:

Hint on Prob. 17.16:

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Hint on Prob. 17.16:

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Presentation Transcript

  1. Hint on Prob. 17.16:

  2. Equipotential and field lines:

  3. Equipotential lines field lines:

  4. Equipotential lines and the Electric field: Quantitative relation

  5. Equipotential lines and the Electric field: Quantitative relation ?

  6. Equipotential lines and the Electric field: Quantitative relation

  7. Small enough scale, looks like parallel plate field:

  8. Small enough scale, looks like parallel plate field: (calculate)

  9. Formally: Direction: downhill

  10. Pretending that V(x) is like a topographic map: The Electric field always points in the direction of steepest descent! B) The magnitude of the electric field is given by the slope in that direction! alternate units for E: V/m

  11. Note: color Scheme is backward

  12. Example 17.22 where’s V = 0? 5 cm Two possibilities!

  13. Example 17.22 where’s V = 0? Possibility #1 5 cm x

  14. Example 17.22 where’s V = 0? Possibility #2 x

  15. Conductors!

  16. Electric fields just outside of a conductor are strong where the conductor is pointy: Dielectric strength of a material = maximum electric field the Material can stand before breaking down. Dielectric strength of air = 3 × 106 V/m Example: Voltage of a 8 cm spark!

  17. Capacitance:

  18. Capacitance: Must be at different potentials!

  19. Capacitance:

  20. Capacitance:

  21. 10 cm Parallel-plate capacitor: 10 cm 0.1 cm Square plates

  22. Parallel-plate capacitor: Q = ?

  23. Parallel-plate capacitor: Dielectric constant! Quartz: k = 4.3 Dielectric! 10 cm 0.1 cm Square plates

  24. V de G demo again, big and little spheres – spark size Leyden-jar demo