Fig shows L-shaped rod rotating about its end Oin a plane perpendicular to the magnetic field B. The part OA of the rod is non-conducting while the part AB is conducting. The induced e.m.f. between the ends A and B is
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a
12ωBL2
b
ωBL2
c
2ωBL2
d
12ωB2L
answer is A.
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Detailed Solution
Consider a small element dx as shown in fig.(22). Here (dx x v) ll B∴eAB=∫0L [dxωrsinθ]B=ωB∫0L xdx [∵rsinθ=x]=12ωBL2