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Figure 23-35 shows a closed Gaussian surface in the shape

Chapter , Problem 11

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QUESTION:

Figure 23-35 shows a closed Gaussian surface in the shape of a cube of edge length 2.00 m, with one corner at \(x_1=5.00\ m,\ y_1=4.00\ m\). The cube lies in a region where the electric field vector is given by \(\overrightarrow{E}=-3.00\widehat{i}-4.00{{y}^{2}}\widehat{j}+3.00\widehat{k}\,\text{N/C}\), with y in meters. What is the net charge contained by the cube?

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QUESTION:

Figure 23-35 shows a closed Gaussian surface in the shape of a cube of edge length 2.00 m, with one corner at \(x_1=5.00\ m,\ y_1=4.00\ m\). The cube lies in a region where the electric field vector is given by \(\overrightarrow{E}=-3.00\widehat{i}-4.00{{y}^{2}}\widehat{j}+3.00\widehat{k}\,\text{N/C}\), with y in meters. What is the net charge contained by the cube?

ANSWER:

Step 1 of 4

Consider the given data as follows.

The electric field is \(\overrightarrow{E}=-3.00\widehat{i} \ 4.00{{y}^{2}}\widehat{j}+3.00\widehat{k}\,\text{N/C}\).

The length of the cube is L = 2.00 m.

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