Question:
In the diagram, the total electric flux through the closed surface 'S' is
[Given q = charge}
{\(\varepsilon_0 = \text{permittivity of free space}\)]
In the diagram, the total electric flux through the closed surface 'S' is
[Given q = charge}
{\(\varepsilon_0 = \text{permittivity of free space}\)]
[Given q = charge}
{\(\varepsilon_0 = \text{permittivity of free space}\)]
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Golden Rule:
Flux depends only on enclosed charge
Outside charges → ZERO contribution
Updated On: May 8, 2026
- $\frac{q}{\varepsilon_0}$
- $\frac{-2q}{\varepsilon_0}$
- $\frac{-q}{\varepsilon_0}$
- $\frac{3q}{\varepsilon_0}$
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The Correct Option is A
Solution and Explanation
Concept: Gauss’s Law
\[ \Phi = \frac{Q_{\text{enclosed}}}{\varepsilon_0} \] Electric flux through a closed surface depends only on the charge enclosed inside the surface.
Step 1: Identify charges
From diagram:
• Charge $+q$ is inside surface $S$
• Charge $-2q$ is outside surface $S$
Step 2: Apply Gauss’s law
Only enclosed charge contributes: \[ Q_{\text{enclosed}} = +q \] \[ \Phi = \frac{q}{\varepsilon_0} \] Conclusion:
External charges do not affect net flux. Final Answer: Option (A)
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