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A cube has sides of length L. It is plac...

A cube has sides of length L. It is placed with one corner at the origin as shown in figure. The electric field is uniform and given by `E = - B hati + Chatj - Dhatk`, where B, C and D are positive constants.

(a) Find the electric flux through each of the six cube faces `S_1, S_2, S_3 , S_4 and S_5 and S_6`.
(b) Find the electric flux through the entire cube.

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The correct Answer is:
B
a. `S_J=(L^2)(-hatj)`
`:. phis_1=E.S_J=-CL^2`
similarly we can find the flux from other surfaces.
b. Total flux from any closed surface in uniform electric field is zero.
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