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The cube has sides of length L =10.0 cm. The electric field is uniform, has magnitude E = 4.00 * 103 N/C, and is parallel to the xy-plane at an angle of 53.1° measured from the + x-axis toward the + y-axis.

(a) What is the electric flux through each of the six cube faces S1, S2, S3, S4, S5, and S6?

(b) What is the total electric flux through all faces of the cube?

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