Three point charges of +2 µC, –3 µC and +1 µC are placed at the vertices of an equilateral triangle of side 0.2 m. A spherical Gaussian surface of radius 0.25 m centered at the triangle’s centroid encloses all three charges. Calculate the net electric flux through the surface.

Step-by-step solution

1. Add the charges to find the total enclosed charge: $q_{enc}=+2\mu C-3\mu C+1\mu C=0\mu C$.
2. Apply Gauss’s law: $\Phi =\frac{q_{enc}}{{\epsilon }_0}=0$.
3. Therefore the net electric flux through the sphere is $0$ N⋅m²/C.

Concept tested: Gauss’s law for net flux

Published 3 September 2026 · Last updated 16 September 2026 · How this solution was prepared and checked