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Given: Q = 4πε0 C at the origin and on the z = 0 plane: at...

Given: Q = 4πε0 C at the origin and on the z = 0 plane: at x = -2 m. line, ρL1 = -2πε0 C/m; at x = -1 m.line, ρL2 = -πε0 C/m; at x = 1 m.line, ρL3 = πε0 C/m; and at x = 2 m.line, ρL4 = 2πε0 C/m. (i) Find the total flux crossing the surfaces of the box whose center is at the origin and with 0 <= |x|, |y|, |z| <= 3. (ii) Find the total flux whose center is at the origin, with ρ = 3 m and |z| <= 1. (iii) Find the total flux crossing the surface of the sphere whose center is at the origin and with a radius of 3 m. (iv) Find the electric field intensity E at P(0, 0, 3). (e) Find the electric flux density D at Q(0, 0, -3).

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