Please thoroughly expalin your process, I want to understand this problem down t

Question

Please thoroughly expalin your process, I want to understand this problem down to wire.

What is the unit vector n on the bottom face of the box? What is the electric flux on the bottom face of the box? What is the electric flux on the top face of the box? What is the electric flux on the left face of the box? What is the electric flux on the right face of the box? What is the electric flux on the front face of the box? What is the electric flux on the back face of the box? How much charge is inside the box (amount and sign)?

Explanation / Answer

a) n on bottom = <0,-1,0>

b) flux = A B*n = .06*0.02*-44=-0.0528

c) top n = <0,1,0>

flux = 0.06*0.02*104= 0.1248

d) left n = <-1,0,0>
flux = 0.03*0.02*-130=-0.078

e) right n = <1,0,0>
flux =0.03*0.02*130 = 0.078

f) front n = <0,0,1>

flux = 0

g) back n = <0,0,-1>

flux = 0

h) net flux = -0.0528 + 0.1248= 0.072

net flux = qenc/e0

qenc = 0.072*8.85E-12= 6.37E-13 C

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