Discussion
A cube of side 1 m encloses a charge of 6 nC placed at its centre. The flux through one face is
Answer: B
Correct answer: 1 nC
By symmetry the charge at the centre sends equal flux through each of the six faces: \[ \frac{6}{6} = 1\ \mathrm{nC}. \] The symmetry argument is what makes this trivial; without the charge at the centre the faces would carry different amounts and the calculation would be a genuine integration.
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