A particle with charge -3.00 nC is at the origin, and a...

A particle with charge $-3.00 \mathrm{nC}$ is at the origin, and a particle with negative charge of magnitude $Q$ is at $x=50.0 \mathrm{~cm} . \mathrm{A}$ third particle with a positive charge is in equilibrium at $x=20.9 \mathrm{~cm} .$ What is $Q ?$

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Key Concepts

Superposition Principle

The Superposition Principle in electrostatics asserts that the net force on a charge is the vector sum of the forces exerted by each individual charge. This principle allows for the analysis of complex charge configurations by considering the contributions from each charge separately and then summing them to find the overall effect.

Electrostatic Equilibrium

Electrostatic Equilibrium refers to a state in which a charged particle experiences no net force due to other charges. This occurs when the individual forces acting on the particle cancel each other out, a condition that is used to determine unknown charges or positions in a system based on the balance of forces.

Coulomb's Law

Coulomb's Law is a fundamental principle that quantifies the electrostatic force between two point charges. It states that the force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. This concept is crucial for calculating the magnitude of forces in systems involving charged particles.

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