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At each point on the surface of the cube shown in Fig. 23-27, the electric field

ID: 1901790 • Letter: A

Question

At each point on the surface of the cube shown in Fig. 23-27, the electric field is parallel to the z axis. The length of each edge of the cube is 3.2 m. On the top face of the cube the electric field is in the negative z direction and has a magnitude of 38 N/C magnitude. On the bottom face of the cube the field is in the positive z direction and has a magnitude of 23 N/C. Determine the net charge (in nC) contained within the cube.

At each point on the surface of the cube shown in Fig. 23-27, the electric field is parallel to the z axis. The length of each edge of the cube is 3.2 m. On the top face of the cube the electric field is in the negative z direction and has a magnitude of 38 N/C magnitude. On the bottom face of the cube the field is in the positive z direction and has a magnitude of 23 N/C. Determine the net charge (in nC) contained within the cube.

Explanation / Answer

The electric flux at the top face = EA = (-37 N/C)(3.5m)^2 = -453.25 N.m^2/C At the bottom face = (15 N/C)(3.5m)^2 = 183.75 N.m^2/C Now calculate the net flux going thru the cube and equate this to the charge inside it divided by the permittivity. Then solve for Q ps-there is 0 flux thru the sides

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