Answer: q/(6 epsilon 0 ).
- A q/epsilon<sub>0</sub>
- B q/(6 epsilon<sub>0</sub>)
- C 6q/epsilon<sub>0</sub>
- D q/(4 epsilon<sub>0</sub>)
Correct answer: B. q/(6 epsilon<sub>0</sub>)
Explanation: Total flux = q/epsilon<sub>0</sub> by Gauss's law. By symmetry, 6 identical faces each get 1/6 of total. One face: q/(6 epsilon<sub>0</sub>).
Field lines (radial) and equipotential lines (concentric circles) of a point charge. Equipotential surfaces are always perpendicular to the field lines. Image: Sjlegg, Public Domain, via Wikimedia Commons.
Concept context
Electric potential, equipotential surfaces, potential energy of charge systems, conductors, dielectrics, capacitors, combinations, and energy storage.
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