, Fig.
4(EP).13. The entire system is in a uniform magnetic field B whose direction is
along the normal to the surface of the rectangular conductor ABDC. The
conductor OP is in electric contact with ABDC. The rotating conductor has a
resistance of 
per unit length.
Find the current in the rotating conductor, as it rotates by 180.
Answer:
The set up is shown in
Fig. 4(EP).14. Between time t = 0 and t = 
,
the rod OP will make contact with side BD. At any time t : 0 < t < 
, let the length OQ of
contact be 
.
Magnetic flux through the
area ODQ is
where 
Magnitude
of emf generated,
If
R is resistance of the rod in contact, then induced current 
Now,
For t = to t = 
, the rod is in contact
with the side AB, as shown in Fig. 4(EP). 15. Let the length of the rod in contact,
OQ = .
Magnetic
flux linked with area ODBQ
= B x area of trapezium ODBQ
where 
Magnitude
of emf generated,
Induced
current, 
For
, t = to t = 
the rod is in contact with
the side AC as shown in Fig. 4(EP).16.
Let the length
of the rod in contact OQ = .
Magnetic
flux linked with area ODBAQ
Magnitude
of induced emf,
Induced
current,
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