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The figure shows a bar magnet M falling under gravity through an air cored coil. Plot a graph showing variation of induced e.m.f. with time (t). What does the area enclosed by E-t curve depict?

a bar magnet M falling under gravity through an air cored coil.

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The graph between E and t is as shown in Fig. Here as the magnet approaches the coil, E will go on increasing up to b. When the magnet fully enters the coil given by point c, there is no change in magnetic flux, it is shown by c in Fig. 

the magnet approaches the coil, E will go on increasing up to b.

And again when it is coming out from the coil, the value of E increases in reverse direction.

Area below E-t graph gives the magnetic flux because

Et = flux [∵ \(\frac{d\phi}{dt}\)  = E or dΦ = E dt]

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