Practice question
Question
A charge \( 6 \, \mu\text{C} \) is at the center of a cube of edge 20 cm. What is the total electric
flux through the cube?
Explanation
**Electric flux** through surface measures field lines crossing it, Φ = E·A = E A cosθ for uniform field, unit N·m²/C. For circular area in xy-plane with field along z, θ = 0°, cosθ = 1, so Φ = E·πR² directly, maximum when field normal to surface. Total flux: Φ = (q/ε₀) . Φ = (6 × 10⁻⁶/8.854 × 10⁻¹²) = 6.78 × 10⁵ N·m²/C . Substituting values gives 6.78 × 10⁵ N·m²/C, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency.
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