Chapter 23, Problem 16P

GO The box-like Gaussian surface shown in Fig. 23-38 encloses a net charge of +24.0ε₀ C and lies in an electric field given by $\stackrel{\to }{E}$ = [(10.0 + 2.0x) $\hat{i}$ − 3.00 $\hat{j}$ + bz $\hat{k}$] N/C, with x and z in meters and b a constant. The bottom face is in the xz plane; the top face is in the horizontal plane passing through y₂ = 1.00 m. For x₁ = 1.00 m, x₂ = 4.00 m, z₁ = 1.00 m, and z₂ = 3.00 m, what is b?

Figure 23-38 Problem 16.