Question:
A toroid of $n$ turns, mean radius $R$ and crosssectional radius a carries current $I$. It is placed on a horizontal table taken as $x-y$ plane. Its magnetic moment $\overrightarrow{M}$
A toroid of $n$ turns, mean radius $R$ and crosssectional radius a carries current $I$. It is placed on a horizontal table taken as $x-y$ plane. Its magnetic moment $\overrightarrow{M}$
Updated On: Jun 23, 2023
- is non-zero and points in the z-direction by symmetry
- points along the axis of the toroid $\left(\overrightarrow{M} = M \hat{\phi}\right)$
- is zero, otherwise there would be a field falling as $\frac{1}{r^{3}}$ at large distances outside the toroid
- is pointing radially outwards
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The Correct Option is C
Solution and Explanation
In a toroid magnetic field is only confined inside the body of toroid in the form of concentric magnetic lines of force and outside the toroid magnetic field is zero.
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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.