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Electric circuits miscellaneous

  1. Two semi-infinite dielectric regions are separated by a plane boundary at y = 0. The dielectric constant of region 1 (y < 0) and region 2 (y > 0) are 2 and 5, Region 1 has uniform electric field E = 3ax̂ + 4aŷ + 2aẑ , where ax̂ , aŷ and aẑ are unit vectors along the x, y and z axis, respectively. The electric field region 2 is
    1. 3ax̂ + 1.6aŷ + 2aẑ
    2. 1.2ax̂ + 4aŷ + 2aẑ
    3. 1.2ax̂ + 4aŷ + 0.8aẑ
    4. 3ax̂ + 10aŷ + 0.8aẑ
Correct Option: A


E1 = 3ax + 4ay + 2az

E2 = 3ax +
2
(4ay) + 2az
5

∴ E2 = 3ax + 1.6ay + 2az



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