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JEE MainPhysicsElectrostatics

Two very large parallel non-conducting sheets are placed at x = -d and x = +d . The sheet at x = -d carries a uniform surface charge density + , and the sheet at x = +d carries a uniform surface charge density -2 . What are the x -components of the net electric field ( E_x ) in the regions x d respectively?

Options

  1. A_o , 3 _o , - _o
  2. B2 _o , 3 2 _o , - 2 _o
  3. C- 2 _o , 2 _o , 3 2 _o
  4. D- 3 2 _o , 2 _o , 3 2 _o

Correct answer

B. 2 _o , 3 2 _o , - 2 _o

Step-by-step solution

The electric field due to a large non-conducting sheet with surface charge density is uniform and has a magnitude E = | | 2 _o . Its direction is away from a positive sheet and towards a negative sheet. Let E₁ be the field due to the sheet at x = -d and E₂ be the field due to the sheet at x = +d . In the region x The field E₁ points in the -x direction, so E_ 1x = - 2 _o . The field E₂ points towards the negative sheet (in the +x direction), so E_ 2x = + 2 2 _o . Net field E_x = - 2 _o + 2 2 _o = 2 _o . In the regi

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