Discussion
A student computes the flux out of an open hemisphere and applies Gauss's law to it. The objection is that
Answer: B
Correct answer: Gauss's law requires a closed surface
The law relates the flux out of a closed surface to the charge it encloses, and an open hemisphere encloses nothing - there is no inside and outside to speak of. The flux through it can be computed by integration, but the law says nothing about it and cannot be applied.
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