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15.4: Maxwell's Second Equation

Last updated

Mar 5, 2022
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- 15.3: Poisson's and Laplace's Equations
- 15.5: Maxwell's Third Equation

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Unlike the electrostatic field, magnetic fields have no sources or sinks, and the magnetic lines of force are closed curves. Consequently the surface integral of the magnetic field over a closed surface is zero, and therefore

$\text{div} \, \textbf{B} = 0 \tag{15.4.1} \label{15.4.1}$

or, in the nabla notation

$\boldsymbol{\nabla} \cdot \textbf{B} = 0 \tag{15.4.2} \label{15.4.2}$

This is the second of Maxwell's equations.

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