The electric field in a particular region of space is everywhere parallel to the

Question

The electric field in a particular region of space is everywhere parallel to the z axis. A box (L = w = h = 2.0 m) is in this region as shown in the figure below, and has a net charge qnet enclosed within it. On the front face of the box, the electric field points in the -z direction and has a magnitude EI = 33 N/C, On the back face of the box, the electric field points in the +z direction and has a magnitude Ez = 25 N/C. What is the value (magnitude and sign) of qnet? 2.09 What is the flux through each face of the box? How is the total flux through the box related to the net charge enclosed inside the box? nc *

Explanation / Answer

Applying Gauss Law

=> Net flux = - (33 * 2 * 2 + 25 * 2 * 2) = - 232 N-m2/C

=> magnitude of qnet =   - 232 * 8.854 * 10-12

                                   =    - 2.05 nC                      ( - negative charge)

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