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Electromagnetism · undergrad

Gauss's Law

Electric flux through a closed surface measures the enclosed charge.

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Gauss's Law

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Integral Form

VEdA=Qencε0.\oint_{\partial V} \mathbf E\cdot d\mathbf A = \frac{Q_{\rm enc}}{\varepsilon_0}.

Differential Form

Using the divergence theorem,

E=ρε0.\nabla\cdot\mathbf E = \frac{\rho}{\varepsilon_0}.

This is one of Maxwell’s equations.

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