Electro Magnetic Induction And Alternating Currents Question 517
In a conducting cycle wheel (of n spokes), each spoke of length l is rotating with angular speed $ \omega $ in uniform perpendicular magnetic field B. If due to flux cutting each metal spoke behaves as an identical cell of emf(e) then net emf of the system is
Options:
A) $ nB\omega l^{2} $
B) $ \frac{1}{2}nB\omega l^{2} $
C) $ \frac{1}{2}B\omega l^{2} $
D) $ B\omega l^{2} $
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Answer:
Correct Answer: C
Solution:
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Each spoke will behave as a cell.
Induced emf of each spoke $ =\frac{1}{2}Bl^{2}\omega $
But all (n) identical spoke behaving as a cell can be connected in a parallel fashion, so the resultant $ emf=e=\frac{1}{2}Bl^{3}\omega $ = same as single cell.
BETA
