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What net charge is enclosed by the Gaussian cube ofProblem 2$?$
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The total electric flux was found to be -48 Nm²/C. Show more…
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72 What net charge is enclosed by the Gaussian cube of Problem $2 ?$
Use Gauss's Law to find the charge enclosed by the cube with vertices $(\pm 1, \pm 1, \pm 1)$ if the electric field is $$\mathbf{E}(x, y, z)=x \mathbf{i}+y \mathbf{j}+z \mathbf{k}$$
VECTOR CALCULUS
Surface Integrals
co Figure 23-35 shows a closed Gaussian surface in the shape of a cube of edge length $2.00 \mathrm{~m}$, with one corner at $x_{1}=5.00 \mathrm{~m}, y_{1}=4.00$ $\mathrm{m}$. The cube lies in a region where the electric field vector is given by $\vec{E}=-3.00 \hat{\mathrm{i}}-4.00 \mathrm{y}^{2} \mathrm{j}+3.00 \hat{\mathrm{k}} \mathrm{N} / \mathrm{C}$, with $y$ in meters. What is the net charge contained by the cube?
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