What is the total charge of a system containing three charges: \( +3 \, \mu\text{C} \), \( -5 \, \mu\text{C} \), and \(
**Vector addition of forces** underlies multi-charge analysis. Each pair contributes independent Coulomb force, resultant obtained by resolving components along axes. Equilibrium occurs when vector sum vanishes, often at symmetric points where contributions balance. Total charge is the algebraic sum (additivity of charges). qtₒtₐl = (+3 × 10⁻⁶) + (-5 × 10⁻⁶) + (+2 × 10⁻⁶) = 3 - 5 + 2 = 0 μC . Substituting values gives 0 μC, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency.
Ref: NCERT > Physics Book > Electric Charges and Fields > Superposition Principle and Equilibrium of Charges