Practice question
Question
A point charge \( -9 \, \mu\text{C} \) is at the origin. What is the electric field magnitude at a
point 6 m along the x-axis?
Explanation
**Charge conservation and quantization** govern rubbing processes where electrons transfer without creation. Total charge before and after remains equal, and any measured charge corresponds to n = q/e electrons, allowing counting of carriers from coulomb value. E = (k |q|/r²) . k = 9 × 10⁹ N·m²/C² , q = 9 × 10⁻⁶ C , r = 6 m . E = 9 × 10⁹ × (9 × 10⁻⁶/(6)²) = 9 × 10⁹ × (9 × 10⁻⁶/36) = 2.25 × 10³ N/C . Substituting values gives 2.25 × 10³ N/C, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency.
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