The figure shows four wire loops, with edge lengths of either l or 2l. All four loops will move through a region of uniform magnetic field g at the same constant velocity. In which loop the emf induced is maximum :
A
I
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B
II
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C
III
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D
IV
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Solution
The correct option is A I E=vBl
where B=magnetic field which is same for all 4 loops
v=speed which is also same
l=length of side entering or leaving the loop . When whole loop has entered the field, no further change in flux hence then no emf will be induced. emf is induced when entering or leaving the field region now,
Since, length of side entering field is same for I and II and greater than III and IV, same and maximum emf will be induced in both I and II.