The volume charge density as a function of distance X from one face inside a unit cube is varying as shown in the figure. Find the total flux (in S.I. units) through the cube (If ρ 0 = 8.85 × × 10 -12 C/m 3 ).:
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(9 )
Net flux through the cube, φ φ net = 
To find q in , let's divide the cube into small elements, and consider a small element of width dx as shown.
Charge on the small element = (ρ) (A. dx)
Total charge = 
= 
= (Area of φ φ –x graph)
= 2 
12
= 
ρ 0 × 12.
⇒ Net flux φ φ net = 
= 
= 9 V.m (as ρ 0 = 8.85 × 10 –12 )
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