6Lenz rule, phenomenon of self-inductance

1

To use the law of electromagnetic induction in problem solving;

2

Induction stove. In an induction stove an ac current exists in a coil that is the “burner” (a burner that never gets hot). Why will it heat a metal pan, usually iron, but not a glass container?

The ac current sets up a changing magnetic field that passes through the pan bottom. This changing magnetic field induces a current in the pan, and since the pan offers resistance, electric energy is transformed to thermal energy which
heats the pan and its contents. If the pan is iron, magnetic hysteresis due to the changing current produces additional heating. A glass container offers such high resistance that little current is induced and little energy is transferred.

In which direction is the current, induced in the circular loop for each situation in Figure below?

In (a), the magnetic field initially pointing out of the page passes
through the loop. If you pull the loop out of the field, magnetic flux through the
loop decreases; so the induced current will be in a direction to maintain the
decreasing flux through the loop: the current will be counterclockwise to
produce a magnetic field outward (toward the reader).
(b) The external field is into the page. The coil area gets smaller, so the flux will
decrease; hence the induced current will be clockwise, producing its own field
into the page to make up for the flux decrease.
(c) Magnetic field lines point into the S pole of a magnet, so as the magnet
moves toward us and the loop, the magnet’s field points into the page and is
getting stronger. The current in the loop will be induced in the counterclockwise
direction in order to produce a field out of the page.
(d) The field is in the plane of the loop, so no magnetic field lines pass through
the loop and the flux through the loop is zero throughout the process; hence
there is no change in flux and no induced emf or current in the loop.
(e) Initially there is no flux through the loop. When you start to rotate the loop,
the external field through the loop begins increasing to the left. To counteract
this change in flux, the loop will have current induced in a counterclockwise
direction so as to produce its own field to the right.

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