Flux calculation using Gauss’s Theorem

[manayay]

Qn: A uniform electric field of strength 300 N/C at an angle of
30º with respect to the x-axis goes through a cube of sides
5 cm. (a) Calculate the flux through each cube face:
Front, Back, Left, Right, Top, and Bottom. (b) Calculate
the net flux through the entire surface. (c) An electron is
placed centered 10 cm from the left surface. What is the
net flux through the entire surface? Explain your answer
Ans:
Applying Gauss’s law the net flux can be calculated.
And for option (B), i guess the flux will be 0. But not sure. can anyone explain all the 3 options?

 

[mfb]

And for option (B), i guess the flux will be 0. But not sure.

Option B?
That is right, and Gauss gives you the reason (is there divergence of the field inside the cube?).

(a) cannot be solved with Gauss alone, but the integrals are easy to do.