A charge of +2 μC is placed at the center of a square with side length 4 m. The electric flux through one face of the square is:
Correct answer: B. 3.76 × 10⁴ N·m²/C
- A. 2.26 × 10⁵ N·m²/C
- B. 3.76 × 10⁴ N·m²/C
- C. Zero
- D. 1.13 × 10⁵ N·m²/C
Explanation
By Gauss's law, total flux through a closed surface is Φ = q/ ε₀, where q = 2 × 10⁻⁶ C and ε₀ = 8.85 × 10⁻¹² C²/N·m². Total flux = 2 × 10⁻⁶ / 8.85 × 10⁻¹² ≈ 2.26 × 10⁵ N·m²/C. For a cube, flux is equally divided among six faces, so flux through one face = 2.26 × 10⁵ / 6 ≈ 3.76 × 10⁴ N·m²/C.
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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.
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