292 Stokes’ Theorem Physics

Stokes’ theorem relates the circulation of a vector field \(\mathbf{A}\) around a closed path \(L\) to the surface integral of its curl over an open surface \(S\) bounded by \(L\) [1]:.

\[ \int_S (\nabla \times \mathbf{A}) \cdot d\mathbf{S} = \oint_L \mathbf{A} \cdot d\mathbf{l}\]

where

: \(d\mathbf{S}\) is the surface element vector [1]. * The orientation follows the Right-Hand Rule [2].

• Complex Analysis
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• Electromagnetism
• Lorentz Force Law
• Mathematics Appendix
• Maxwell’s Equations
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• Physics Mathematical Appendix
• Radiation
• Special Relativity and Electric Fields
• Stokes’ Theorem for Flux Integral
• Stokes’ Theorem Physics