First slide
Magnetic flux and induced emf
Question

A long conducting wire AH is moved over a conducting triangular wire CDE with a constant velocity v in a uniform magnetic field B directed into the plane of the paper. Resistance per unit length of each wire is ρ. Then

Difficult
Solution

As the wire AH slides, the enclosed area increases, so the magnetic flux in  direction through the coil is increasing. Therefore, induced current will produce magnetic field in  direction. Thus, the current in the loop is anticlockwise. Magnitude of induced current at any instant of time is

i=eR=Bv(FG)ρ(FG+GD+DF)

When the wire AH moves downwards FG, GD and DF all increase in the same ratio. Therefore, i is constant.

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