The surface x = 0 separates two perfect dielectrics. For x > 0, let r = r₁ = 3, while r₂ = 5 where x < 0. If E₁ = 80a_x − 60a_y − 30a_z V/m, find

(a) EN₁;

(b) ET₁;

(c) E₁;

(d) The angle θ₁ between E₁ and a normal to the surface;

(e) DN₂;

(f) DT₂;

(g) D₂;

(h) P₂;

(i) the angle θ₂ between E₂ and a normal to the surface.