You should now be familiar with
the long *integral* mathematical form of
FARADAY'S LAW of MAGNETIC INDUCTION:
in SI units,

where the line integral of around the closed loop is (by definition) the

To make this easy to visualize, let's again draw an
infinitesimal rectangular box with the *z* axis along
the direction of the magnetic field, which can be
considered more or less uniform over such a small region.
Then the flux through the "Faraday loop" is just
and the line integral of the electric field is

(Yes it is. Study the diagram!) Here, as before,

which reduces to the

between the "swirlyness" of the spatial dependence of the electric field and the rate of change of the magnetic field with time.

If you have studied the definition of the CURL
of a vector field, you may recognize the left-hand side
of the last equation as the *z* component of

The

This says, in essence, that

Jess H. Brewer - Last modified: Wed Nov 18 12:31:47 PST 2015