A cube has one corner at the origin and the opposite cornerat the point (L, L,L). The sides of the cube are parallel to thecoordinate planes. The electric field in and around the cube isgiven by E=(a+bx)x+cy. Part A Find the total electric flux phi E through the surface of the cube. Express your answer in terms of a, b,c and L. Phi E=Part B This part will be visible after youcomplete previous item(s). Part C What is the net charge q inside the cube? Express your answer in terms of a, b,c ,L, and epsilon. q=

Explanation:

in this case, flux and area vectors are parallel . therefore, flux is just the dot product of electric field and area vector.

(flux=EAcos0 =EA)

flux through the face x face

Physics homework question answer, step 1, image 1

the flux through -x face

Physics homework question answer, step 1, image1

Step 2

the flux through y face,

Physics homework question answer, step 2, image 2

the flux through -y face,

Physics homework question answer, step 2, image 2

the flux through the z faces are zero,

therefore, the net flux is,

Physics homework question answer, step 2, image 3

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