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Question

What fundamental principle allows the electric field due to multiple charges to be calculated as the
vector sum of the fields due to each charge individually?

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Explanation

**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. The superposition principle states that the electric field produced by multiple charges is the vector sum of the fields produced by each charge independently. This principle holds because electric forces and fields are linear and unaffected by the presence of other charges. Substituting values gives Superposition, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency.

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