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A sphere encloses an electric dipole within it. The total flux across the sphere is 
  • a)
    zero
  • b)
    half that due to a single charge
  • c)
    double that due to a single charge
  • d)
    dependent on the position of dipole
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A sphere encloses an electric dipole within it. The total flux across ...
Understanding Electric Flux
Electric flux is a measure of the electric field passing through a given area. According to Gauss's Law, the total electric flux through a closed surface is proportional to the net charge enclosed within that surface.
Electric Dipole Characteristics
- An electric dipole consists of two equal and opposite charges separated by a distance.
- The dipole has no net charge because the positive and negative charges cancel each other out.
Application of Gauss's Law
- Gauss's Law states that the total electric flux (Φ) through a closed surface is given by:
Φ = Q_enclosed / ε₀
- Where Q_enclosed is the total charge within the surface and ε₀ is the permittivity of free space.
Flux Through a Sphere Enclosing a Dipole
- When a sphere encloses an electric dipole, the total enclosed charge (Q_enclosed) is zero.
- Since there is no net charge inside the sphere, the total electric flux through the sphere is also zero.
Conclusion
- The total electric flux across the sphere is zero because the dipole’s positive and negative charges effectively cancel each other out.
- Therefore, the correct answer is option 'A': zero flux across the sphere.
This concept is crucial for understanding how electric fields behave in the presence of dipoles and reinforces the principles of electrostatics as applied in physics.
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Community Answer
A sphere encloses an electric dipole within it. The total flux across ...
The net charge enclosed by the sphere is zero.
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