Question

A particle with charge q is located inside a cubical gaussian surface. No other charges are nearby. If the particle can be moved to any point within the cube, what maximum value can the flux through one face approach?

• A. $0$
• B. $q/2{ϵ}_0$
• C. $q/6{ϵ}_0$
• D. $q/8{ϵ}_0$
• E. depends on the size of
  the cube

Answer 1

The correct option is B $q/2{ϵ}_0$

Move the charge to very dose below the center of one face so that half the flux pass's through that face and half the flux passes through the other five faces.