6a)

The total induced emf is directly proportional to the rate of change of flux

linkage (for a coil), or rate of cutting of flux (for a moving wire).

6b)

As the wire oscillates, it cuts the magnetic flux. Hence emf is induced between the two ends of the wire.

Since the wire cuts the magnetic flux in opposite directions on the way up and down, the induced emf also alternates in direction.

6c)

COMMENT: The substitution value for L should be 15 cm instead of 35 cm. Because there is magnetic field only along the 15 cm wide poles, the other 20 cm of the wire is not cutting any magnetic flux.

6d)

The e.m.f. between X and the folded end is 0.030 V.

The e.m.f. between Y and the folded end is also 0.030 V, with the same polarity.

The e.m.f. between X and Y is thus zero.

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