(a) Calculate the electric flux through the vertical rectangular surface of the

Question

(a) Calculate the electric flux through the vertical rectangular surface of the box.
kN m2/C

(b) Calculate the electric flux through the slanted surface of the box.
kN m2/C

(c) Calculate the electric flux through the entire surface of the box.
kN m2/C

Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.14 (a) Calculate the electric flux through the vertical rectangular surface of the box. kN ½ m^2/C (b) Calculate the electric flux through the slanted surface of the box. kN ½ m^2/C (c) Calculate the electric flux through the entire surface of the box. kN ½ m^2/C x 10^4 N/C as shown in the figure below.

Explanation / Answer

flux = E cos (theta) * area

a)

since theta = 90 deg

flux = 0

b)

area = 30 * 10 * cos(60) = 150 cm^2 = 0.015 m^2

flux = 7.14 * 10^4 * cos(30) * 0.015 = 165.2 = 0.165 kN m^2 / C

c)

parallel flux =  7.14 * 10^4 * cos(0) * 0.03 = 2.142 kN m^2 / C

entire flux = 2.142 + 0.165 = 2.307 kN m^2 / C

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