Two extensive homogeneous dielectrics meet on plane z = 0. Let ϵr1 = 5 in region 1 defined by z ≥ 0 and ϵr2 = 4 in region 2 defined by z ≤ 0. A uniform electric field E1 = 4ux – 3uy + 2uz kV/m exists for z ≥ 0.

Which of the following statements is/are true?

1
E2 for z ≤ 0 is 4ux – 3uy + 2.5 uz kV/m
2
The angle E1 make with the interface is 68.198°
3
The energy density in region 2 is 553 μJ/m3
4
The energy within a cube of side 4 m centered at (3, 4, 7) is 35.4 mJ

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