# Maxwell’s Equations – Differential form of Faraday’s law (Part 6)

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This is Part six of my eight part series on Maxwell Equations

I had already covered Gauss’s law for electric field in two articles and links to both these articles are

Previous two articles in this series were about Gauss’s Law for magnetic fields and their links are

$\overrightarrow \nabla \times \overrightarrow E = – \frac{{\partial \vec B}}{{\partial t}}$
1. $\vec \nabla \times \vec E$ : here  $\vec \nabla$  is a differential vector operator and the cross product turns the del operator into the curl and  $\vec E$ is electric field measured in V/m. The curl of a vector field is a measure of the field’s tendency to circulate about a point – much like the divergence is a measure of the tendency of the field to flow away from a point. Now when we talk about point charges electric fields diverge away from points of positive charge and converge toward points of negative charge, such fields cannot circulate back on themselves. So what kind of fields circulates back on themselves? Electric fields induced by changing magnetic fields are different. Wherever a changing magnetic field exists, a circulating electric field is induced. Unlike charge-based electric fields, induced fields have no origination or termination points – they are
2. $\frac{\partial B }{\partial t}$ : is the rate of change of magnetic field with time