Any subset X ⊆ nodes(G) induces a subgraph G[X] of G, where G[X] has nodes X and G[X] contains all arcs of G which join nodes in X.
G′ is a full (or induced) subgraph of G if G′ = G[X] for some X ⊆ nodes(G).
Iain Phillips Lecture Notes 2008
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An induced electromotive force (emf) is an induced voltage. Voltage (emf) causes current flow, and this induced voltage will cause a current that is called the induced current.We might also add that the induced current will cause a magnetic field to expand about the current path, and this field will "sweep" the conductor. The sweeping of the conductor by that expanding magnetic field will set up an emf that will oppose the emf that was creating it.CommentTechnically, there is no such thing as an 'induced current'. It is voltage that is induced. Any current flows as a result of that induced voltage being applied to a load. But that current is certainly NOT induced!
When a current in a coil increases or decreases, there is a change in magnetic flux linking the coil,an e.m.f. is induced. This is called self induced e.m.f. and the process is called self induction.
There is no such thing as an 'induced current'. What is 'induced' is a voltage. The direction of the induced voltage is determined by the direction of the changing current that induces that voltage, because the induced voltage will always act to oppose that change in current. So, if the current is increasing, then the direction of the induced voltage will act to opposethe increase in current. If the current is decreasing, then the direction of the induced voltage will act to sustainthat current.
The magnetic flux passing the coil changes by its rotation thus induced emf is produced and induced current flows
According to Farady's law, whenever the flux linking with the coil changes, emf will induce in that coil.Actually the material should oppose the flux changes, that opposition is the induced current. Induced current will set own flux, opposite to that of the flux changes.For further details, refer lenz law.