Magnetism Question 243

Question: A 25 cm long solenoid has radius 2 cm and 500 total number of turns. It carries a current of 15A. If it is equivalent to a magnet of the same size and magnetization $ \vec{M} $ (magnetic moment/volume), then $ | . {\vec{M}} | . $ is:

Options:

A) $ 30000\pi ,A{{m}^{-1}} $

B) $ 3\pi ,A{{m}^{-1}} $

C) $ 30000,A{{m}^{-1}} $

D) $ 300,A{{m}^{-1}} $

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Answer:

Correct Answer: C

Solution:

[c] M (mag. moment/volume) $ =\frac{NiA}{A\ell } $

$ =\frac{Ni}{\ell }=\frac{(500)15}{25\times {{10}^{-2}}}=30000,A{{m}^{-1}} $