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Two large thin plane sheets, each having surface charge density σ. are held close and parallel to each other in air. What is the net electric field at a point (i) inside and (ii) outside, the sheets?

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Question

Two large thin plane sheets, each having surface charge density σ. are held close and parallel to each other in air. What is the net electric field at a point

  1. inside and
  2. outside, the sheets?
Short Answer
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Solution

For two large, parallel thin sheets with identical surface charge density σ in air, the net electric field is:

  1. Inside (between) the sheets: The net electric field is zero. because the fields from each sheet `(E = sigma/(2 epsilon_0))` are equal and point in opposite direction. Hence (E = 0).
  2. Outside the sheets: The net electric field is `sigma/epsilon_0`(pointing away from the sheets) as the fields from both sheets are equal and act in the same direction.
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