Question:

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

Updated On: Aug 21, 2024
  • $3 \pi Am^{-1}$
  • $30000 \,Am^{-1}$
  • $300\, Am^{-1}$
  • $30000 \, \pi Am^{-1}$
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The Correct Option is B

Solution and Explanation

$|\bar{M}|=\frac{\text { Total magnetic moment }}{\text { volume }}$
$=\frac{\text { NiA }}{A l}=\frac{N i}{l}=\frac{500 \times 15}{0.25}=30,000\, Am ^{-1}$
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Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.

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