A metallic rod of mass m and resistance R is sliding over the 2 conducting frictionless rails as shown in Fig. An infinitely long wire carries a current I 0 . The distance of the rails from the wire are b and a respectively.
A
Find the value of current in the circuit if the rod slides with constant velocity v 0 .
B
Find the value of F if the rod slides with constant velocity v 0 .
C
Find the value of C. 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Magnetic flux linked with the differential area element shown in the figure is 
Net flux = 
= 
x dy = 
emf (e) = 
Emf developed due to motion of the conductor has an opposite sense to the emf of cell.
Therefore, i = 
F = 
= 
=
F = 
ln 
τ = 
= 
= 
= 
(b – a)
Now | F m | × | c | = | τ |
Thus 
C
= 
(b – a)
or C = 
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