Question:
A magnetising field of $1600\, A\, m^{-1}$ produces a magnetic flux of $2.4 ? 10^{-5}\, Wb$ in an iron bar of cross-sectional area $0.2\, cm^2$. The susceptibility of an iron bar is
A magnetising field of $1600\, A\, m^{-1}$ produces a magnetic flux of $2.4 ? 10^{-5}\, Wb$ in an iron bar of cross-sectional area $0.2\, cm^2$. The susceptibility of an iron bar is
Updated On: Jun 23, 2023
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The Correct Option is B
Solution and Explanation
Here, $H = 1600\, A\, m^{-1},$
Magnetic flux $\left(\phi\right)=2.4\times10^{-5}\,Wb$
$A=0.2\,cm^{2}=0.2\times10^{-4}\,m^{2}$
$\therefore B=\frac{\phi}{A}=\frac{2.4\times10^{-5}}{0.2\times10^{-4}}=1.2\,Wb\,m^{2}$
$\therefore \mu=\frac{B}{H}=\frac{1.2}{1600}=7.5\times10^{-4}\,N\,A^{-2}$
Hence, susceptibility $\chi=\frac{\mu}{\mu_{0}}-1=\frac{7.5\times10^{-4}}{4\pi\times10^{-7}}-1=596$
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Concepts Used:
Magnetism & Matter
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.