Electric fields of varying magnitudes are directed either inward or outward at r

Question

Electric fields of varying magnitudes are directed either inward or outward at right angles on the faces of a cube, as shown in the figure. The magnitude of the electric fields on the faces is: E(A) = 18 N/C, E(B) = 12 N/C, E(C) = 41 N/C, E(D) = 48 N/C, and E(E) = 48 N/C. What is the strength and direction of the field on the face F, if there are no net charges inside the cube? (Give a positive number if the electric field on face F point outward, and a negative number if inward.)

PLEASE WRITE CLEARLY ANSWER

Electric fields of varying magnitudes are directed either inward or outward at right angles on the faces of a cube, as shown in the figure. The magnitude of the electric fields on the faces is: E(A) = 18 N/C, E(B) = 12 N/C, E(C) = 41 N/C, E(D) = 48 N/C, and E(E) = 48 N/C. What is the strength and direction of the field on the face F, if there are no net charges inside the cube? (Give a positive number if the electric field on face F point outward, and a negative number if inward.)

Explanation / Answer

net flux = qenc/ e0

so if qenc = 0

then netflux = 0

netflux = area* ( -A + B +c+d+E +F) = 0

-18+12+41+48+48+F = 0

F=-131 N/C

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