Walker, Halliday & Resnick — Gauss' Law: Problem 24

24 An electric field given by \(\vec{E} = 5.0\hat{i} - 3.0(y^2 + 2.0)\hat{j}\) pierces a Gaussian cube of edge length \(2.0 \text{ m}\) and positioned as shown in Fig. 23-7. (The magnitude \(E\) is in newtons per coulomb and the position \(x\) (and \(y\)) 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?