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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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