Two like magnetic poles of strength 10 and 40 SI units are separated by a distance 30 ,cm . i

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5.Magnetism and Matter

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Two like magnetic poles of strength $ 10$ and $40$ $ SI$ units are separated by a distance $30 \,cm$. The intensity of magnetic field is zero on the line joining them

At a point $ 10 \,cm$ from the stronger pole

At a point $20\, cm$ from the stronger pole

At the mid-point

At infinity

Solution

(b)Suppose magnetic field is zero at point $ P.$ Which lies at a distance $x$ from $10$ unit pole. Hence at $P$
$\frac{{{\mu _0}}}{{4\pi }}.\frac{{10}}{{{x^2}}} = \frac{{{\mu _0}}}{{4\pi }}.\frac{{40}}{{{{\left( {30 – x} \right)}^2}}} \Rightarrow x = 10\,cm$
So from stronger pole distance is $20\, cm.$

Standard 12

Physics

Two identical short bar magnets, each having magnetic moment of $10\, Am^2$, are arranged such that their axial lines are perpendicular to each other and their centres be along the same straight line in a horizontal plane. If the distance between their centres is $0.2 \,m$ , the resultant magnetic induction at a point midway between them is$({\mu _0} = 4\pi \times {10^{ – 7}}\,H{m^{ – 1}})$

hard

A bar magnet of magnetic moment $M$ is cut into two parts of equal length. The magnetic moment of each part will be ……… $M$

easy

(AIPMT-1997)

A short bar magnet with its north pole facing north forms a neutral point at $P$ in the horizontal plane. If the magnet is rotated by $90^o$ in the horizontal plane, the net magnetic induction at $P$ is (Horizontal component of earth’s magnetic field = ${B_H}$)

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A donut-shaped permanent magnet (magnetization parallel to the axis) can slide frictionlessly on a vertical rod. Treat the magnets as dipoles with mass $m_d$ and dipole moment $M$ . When we put two back to back magnets on the rod the upper one will float. At what height $z$ does it float?

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A sheet is placed on a horizontal surface in front of a strong magnetic pole. A force is needed to:

$A$. hold the sheet there if it is magnetic.

$B$. hold the sheet there if it is non-magnetic.

$C$. move the sheet away from the pole with uniform velocity if it is conducting.

$D$. move the sheet away from the pole with uniform velocity if it is both, non-conducting and non-polar.

Choose the correct statement($s$) from the options given below:

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(NEET-2024)

Two like magnetic poles of strength $ 10$ and $40$ $ SI$ units are separated by a distance $30 \,cm$. The intensity of magnetic field is zero on the line joining them

Solution

Similar Questions

A bar magnet of magnetic moment $M$ is cut into two parts of equal length. The magnetic moment of each part will be ……… $M$

A short bar magnet with its north pole facing north forms a neutral point at $P$ in the horizontal plane. If the magnet is rotated by $90^o$ in the horizontal plane, the net magnetic induction at $P$ is (Horizontal component of earth’s magnetic field = ${B_H}$)

A donut-shaped permanent magnet (magnetization parallel to the axis) can slide frictionlessly on a vertical rod. Treat the magnets as dipoles with mass $m_d$ and dipole moment $M$ . When we put two back to back magnets on the rod the upper one will float. At what height $z$ does it float?

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