Question:
A positive charge +q is located at the center of mass of a cube, sphere and cylinder. The total electric flux through the surface:
A positive charge +q is located at the center of mass of a cube, sphere and cylinder. The total electric flux through the surface:
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If the charge inside is the same, the flux is the same. Shape and size don't matter in Gauss's Law!
Updated On: May 14, 2026
- of the cylinder is maximum
- of the cube is maximum
- of the sphere is maximum
- of all three objects are equal
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Gauss's Law states that the total electric flux ($\Phi$) through a closed surface is given by $\Phi = \frac{q_{enclosed}}{\epsilon_{0}}$.
Step 2: Analysis
According to Gauss's Law, the flux depends only on the net charge enclosed by the surface and the permittivity of the medium.
Step 3: Reasoning
It is explicitly independent of the shape, size, or geometry of the closed surface enclosing the charge. Since all three objects enclose the same charge $+q$, the flux is identical for all.
Step 4: Conclusion
The total flux through all three surfaces is equal. Final Answer: (D)
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