Experiments you can run yourself.
Electromagnetic induction: why moving a magnet in a coil produces a current and what determines its magnitude. Interactive simulation, Faraday's law and Lenz's law.
An electric current produces a magnetic field: Ørsted's experiment and the electromagnet. An interactive simulation of compass-needle deflection and of building an electromagnet.
A charge moving in field B feels a force F=qvB·sinα. A charge entering perpendicular to B circles with radius r=mv/(qB). The Lorentz force does no work.
F=BIl·sinα; a current-carrying conductor is pushed out of a magnetic field.
The induced current opposes the change that caused it.