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woleraymond Group Title

An infinite charged sheet has a surface charge density of 1 x 10^-7 Cm^-2 .How far apart are the equipotential surfaces whose potentials differ by 5volts?

  • 2 years ago
  • 2 years ago

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  1. henpen Group Title
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    Work out the electric field at any point, and use the fact that potential energy is \[-\int\limits_{\infty}^{a}F(x)dx\](i.e. a unit charge is dragged from infinity, parallel to the field lines, to a)

    • 2 years ago
  2. henpen Group Title
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    Use the fact that the electric field is the same everywhere (think of the electric flux through a cylinder on the plane).

    • 2 years ago
  3. Mikael Group Title
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    Simpler when the field is constant which it is here - always for infinite plane \[\Delta V = E*\Delta x\]

    • 2 years ago
  4. Mikael Group Title
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    so 5 = E*Delta x find E and then it will help find\[\Delta x\]

    • 2 years ago
  5. henpen Group Title
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    Yes, basically my integral simplifies to \[U=-Fx\] As F is not actually a function of x. Evaluated from infinity to a, or more simply the change in PE (from b to a), yields Mikael's result.

    • 2 years ago
  6. RaphaelFilgueiras Group Title
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    |dw:1347905879599:dw|

    • 2 years ago
  7. henpen Group Title
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    http://www.youtube.com/watch?v=ldJhMDuOGxY

    • 2 years ago
  8. woleraymond Group Title
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    @RaphaelFilgueiras pls can you be more legible with ur formulas.....@benpen thanks for the link

    • 2 years ago
  9. woleraymond Group Title
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    but the value i get is 8.98 x 10 ^ -4 m @RaphaelFilgueiras any clues

    • 2 years ago
  10. RaphaelFilgueiras Group Title
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    it's close my is 8.85x10^-4

    • 2 years ago
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