Electro Magnetic Induction And Alternating Currents Question 517

Question: In a conducting cycle wheel (of n spokes), each spoke of length fi 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:

  • 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 connected in a parallel fashion, so the resultant $ emf=e=\frac{1}{2}Bl^{2}\omega $ = same as single cell.



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