اريد مساعدة في حل مسألة(قانون غاوس)

[ملح مالح ممل]

السلام عليكم ورحمة الله وبركاته
اتمنى انكم تساعدوني في حل السؤال ضروري......



الشكل عبارة عن مكعب s1,s2,s3,s4,s5,s6عبارة عن اوجه المكعب
s1(left side
s2(top
s3(right
s4(bottom
s5(front
s6(back

Q.1 Consider a non-uniform electric field (given in components form E = 7 x i + 4 y j) in N/C
(i.e. the field is a function of x and y).A. Determine the flux through each of the six cube faces S1, S2, S3, S4, S5, and S6,. The cube


has side of length L = 0.4 m.
B. Find the total flux through the cube.
C. What is the total charge inside the cube?

Q.2 Critical Thinking:
If the electric field due to a point charge (i.e. Coulomb’s law) was proportional to 1/r3 instead of 1/r2, would Gauss’s law still be valid?

........اتمنى انكم تساعوني.....