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Electric Charges And Fields

Question
CBSEENPH12039855

What is the flux through a cube of side a if a point charge of q is a one of its corner?

  • fraction numerator 2 straight q over denominator straight epsilon subscript straight o end fraction
  • fraction numerator straight q over denominator 8 straight epsilon subscript straight o end fraction
  • straight q over straight epsilon subscript straight o
  • fraction numerator straight q over denominator 2 straight epsilon subscript straight o end fraction 6 a squared

Solution

B.

fraction numerator straight q over denominator 8 straight epsilon subscript straight o end fraction

Charge enclosed = q/8
therefore,
flux space straight ϕ space equals space straight q subscript enclosed over straight epsilon subscript straight o
straight ϕ space equals space fraction numerator straight q over denominator 8 straight epsilon subscript straight o end fraction