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 :
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: Apr 24, 2025
- $3 \pi Am^{-1}$
- $30000 \,Am^{-1}$
- $300\, Am^{-1}$
- $30000 \, \pi Am^{-1}$
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The Correct Option is B
Solution and Explanation
$|\bar{M}|=\frac{\text { Total magnetic moment }}{\text { volume }}$
$=\frac{\text { NiA }}{A l}=\frac{N i}{l}=\frac{500 \times 15}{0.25}=30,000\, Am ^{-1}$
$=\frac{\text { NiA }}{A l}=\frac{N i}{l}=\frac{500 \times 15}{0.25}=30,000\, Am ^{-1}$
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Concepts Used:
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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.
Magnetite is the world’s first magnet. This is also called a natural magnet. Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.
Read More: Magnetism and Matter
Some of the properties of the magnetic field lines are:
- The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
- They form closed loops traversing inside the magnet.
- But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
- More number of close lines indicate a stronger magnetic field
- The lines do not intersect each other
- The tangent drawn at the field line gives the direction of the field at that point.