An electric field given by
E
→
= 5.5
i
̂
- 3.5(y2 + 4.6)
j
̂
pierces the Gaussian cube of edge length 0.250 m and
positioned as shown in the figure. (The magnitude E is in newtons
per coulomb and the position x is in meters.) What is the electric
flux through the (a) top face, (b) bottom face, (c) left face, and
(d) back face? (e) What is the net electric flux through the
cube?