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      Question

      A cube of side a encloses a point charge q at its

      center. What is the electric flux through one of its faces?
      A q / ε0 Correct Answer Incorrect Answer
      B q / 2ε0 Correct Answer Incorrect Answer
      C q / 6ε0 Correct Answer Incorrect Answer
      D q / 3ε0 Correct Answer Incorrect Answer

      Solution

      According to Gauss’s Law , the total electric flux through a closed surface enclosing a net charge Φtotal = q / ε0 In this case:

      • A point charge q is placed at the center of a cube .
      • The cube has 6 identical faces , and due to symmetry, the flux is equally distributed through all faces.
      So, the electric flux through one face is: Φone face = (1/6).(q / ε0) = q / 6ε0 Therefore, the correct answer is option (C).

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