06. Magnetic Dipole and Magnetic Moment Due to Current
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153896 A magnetised wire of magnetic moment $M$ and length $L$ is bent in the form of a semicircle of radius $r$. The new magnetic moment is:

1 $\mathrm{M}$
2 $\frac{M}{2 \pi}$
3 $\frac{M}{\pi}$
4 $\frac{2 \mathrm{M}}{\pi}$
5 zero
Moving Charges & Magnetism

153898 A uniform conducting wire of length \(12 a\) and resistance \(R\) is wound up as a current (I) carrying coil in the shape of
1.an equilateral triangle of side a.
2.a square of side \(a\).
The magnetic dipole moments of the coil in each case respectively are

1 \(\sqrt{3} \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
2 \(3 \mathrm{Ia}^2\) and \(\mathrm{Ia}^2\)
3 \(3 \mathrm{Ia}^2\) and \(4 \mathrm{Ia}^2\)
4 \(4 \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
Moving Charges & Magnetism

153899
A small bar magnet of dipole moment $M$ is moving with speed $v$ along $x$ direction towards a small closed circular conducting loop of radius ' $a$ ' with its centre $O$ at $x=0$ (see figure). Assume $x>>$ and the coil has a resistance $R$. Then which of the following statement (s) is/are true?

1 Magnetic field at the centre $\mathrm{O}$ of the circular coil due to the bar magnet is $\frac{M}{x^{3}}$
2 Induced EMF is proportional to $\frac{1}{\mathrm{x}^{4}}$
3 The magnetic moment $\mu$ due to induced current in the coil is proportional to $\mathrm{a}^{4}$
4 The heat produced is proportional to $\frac{1}{\mathrm{x}^{6}}$
Moving Charges & Magnetism

153900 A wire of length $L$ metre carrying a current of I ampere is bent in the form of a circle. Its magnetic moment is

1 $\mathrm{IL}^{2} / 4 \mathrm{Am}^{2}$
2 $\mathrm{I} \pi \mathrm{L}^{2} / 4 \mathrm{Am}^{2}$
3 $2 \mathrm{IL}^{2} / \pi \mathrm{Am}^{2}$
4 $\mathrm{IL}^{2} / 4 \pi \mathrm{Am}^{2}$
Moving Charges & Magnetism

153896 A magnetised wire of magnetic moment $M$ and length $L$ is bent in the form of a semicircle of radius $r$. The new magnetic moment is:

1 $\mathrm{M}$
2 $\frac{M}{2 \pi}$
3 $\frac{M}{\pi}$
4 $\frac{2 \mathrm{M}}{\pi}$
5 zero
Moving Charges & Magnetism

153898 A uniform conducting wire of length \(12 a\) and resistance \(R\) is wound up as a current (I) carrying coil in the shape of
1.an equilateral triangle of side a.
2.a square of side \(a\).
The magnetic dipole moments of the coil in each case respectively are

1 \(\sqrt{3} \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
2 \(3 \mathrm{Ia}^2\) and \(\mathrm{Ia}^2\)
3 \(3 \mathrm{Ia}^2\) and \(4 \mathrm{Ia}^2\)
4 \(4 \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
Moving Charges & Magnetism

153899
A small bar magnet of dipole moment $M$ is moving with speed $v$ along $x$ direction towards a small closed circular conducting loop of radius ' $a$ ' with its centre $O$ at $x=0$ (see figure). Assume $x>>$ and the coil has a resistance $R$. Then which of the following statement (s) is/are true?

1 Magnetic field at the centre $\mathrm{O}$ of the circular coil due to the bar magnet is $\frac{M}{x^{3}}$
2 Induced EMF is proportional to $\frac{1}{\mathrm{x}^{4}}$
3 The magnetic moment $\mu$ due to induced current in the coil is proportional to $\mathrm{a}^{4}$
4 The heat produced is proportional to $\frac{1}{\mathrm{x}^{6}}$
Moving Charges & Magnetism

153900 A wire of length $L$ metre carrying a current of I ampere is bent in the form of a circle. Its magnetic moment is

1 $\mathrm{IL}^{2} / 4 \mathrm{Am}^{2}$
2 $\mathrm{I} \pi \mathrm{L}^{2} / 4 \mathrm{Am}^{2}$
3 $2 \mathrm{IL}^{2} / \pi \mathrm{Am}^{2}$
4 $\mathrm{IL}^{2} / 4 \pi \mathrm{Am}^{2}$
Moving Charges & Magnetism

153896 A magnetised wire of magnetic moment $M$ and length $L$ is bent in the form of a semicircle of radius $r$. The new magnetic moment is:

1 $\mathrm{M}$
2 $\frac{M}{2 \pi}$
3 $\frac{M}{\pi}$
4 $\frac{2 \mathrm{M}}{\pi}$
5 zero
Moving Charges & Magnetism

153898 A uniform conducting wire of length \(12 a\) and resistance \(R\) is wound up as a current (I) carrying coil in the shape of
1.an equilateral triangle of side a.
2.a square of side \(a\).
The magnetic dipole moments of the coil in each case respectively are

1 \(\sqrt{3} \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
2 \(3 \mathrm{Ia}^2\) and \(\mathrm{Ia}^2\)
3 \(3 \mathrm{Ia}^2\) and \(4 \mathrm{Ia}^2\)
4 \(4 \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
Moving Charges & Magnetism

153899
A small bar magnet of dipole moment $M$ is moving with speed $v$ along $x$ direction towards a small closed circular conducting loop of radius ' $a$ ' with its centre $O$ at $x=0$ (see figure). Assume $x>>$ and the coil has a resistance $R$. Then which of the following statement (s) is/are true?

1 Magnetic field at the centre $\mathrm{O}$ of the circular coil due to the bar magnet is $\frac{M}{x^{3}}$
2 Induced EMF is proportional to $\frac{1}{\mathrm{x}^{4}}$
3 The magnetic moment $\mu$ due to induced current in the coil is proportional to $\mathrm{a}^{4}$
4 The heat produced is proportional to $\frac{1}{\mathrm{x}^{6}}$
Moving Charges & Magnetism

153900 A wire of length $L$ metre carrying a current of I ampere is bent in the form of a circle. Its magnetic moment is

1 $\mathrm{IL}^{2} / 4 \mathrm{Am}^{2}$
2 $\mathrm{I} \pi \mathrm{L}^{2} / 4 \mathrm{Am}^{2}$
3 $2 \mathrm{IL}^{2} / \pi \mathrm{Am}^{2}$
4 $\mathrm{IL}^{2} / 4 \pi \mathrm{Am}^{2}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153896 A magnetised wire of magnetic moment $M$ and length $L$ is bent in the form of a semicircle of radius $r$. The new magnetic moment is:

1 $\mathrm{M}$
2 $\frac{M}{2 \pi}$
3 $\frac{M}{\pi}$
4 $\frac{2 \mathrm{M}}{\pi}$
5 zero
Moving Charges & Magnetism

153898 A uniform conducting wire of length \(12 a\) and resistance \(R\) is wound up as a current (I) carrying coil in the shape of
1.an equilateral triangle of side a.
2.a square of side \(a\).
The magnetic dipole moments of the coil in each case respectively are

1 \(\sqrt{3} \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
2 \(3 \mathrm{Ia}^2\) and \(\mathrm{Ia}^2\)
3 \(3 \mathrm{Ia}^2\) and \(4 \mathrm{Ia}^2\)
4 \(4 \mathrm{Ia}^2\) and \(3 \mathrm{Ia}^2\)
Moving Charges & Magnetism

153899
A small bar magnet of dipole moment $M$ is moving with speed $v$ along $x$ direction towards a small closed circular conducting loop of radius ' $a$ ' with its centre $O$ at $x=0$ (see figure). Assume $x>>$ and the coil has a resistance $R$. Then which of the following statement (s) is/are true?

1 Magnetic field at the centre $\mathrm{O}$ of the circular coil due to the bar magnet is $\frac{M}{x^{3}}$
2 Induced EMF is proportional to $\frac{1}{\mathrm{x}^{4}}$
3 The magnetic moment $\mu$ due to induced current in the coil is proportional to $\mathrm{a}^{4}$
4 The heat produced is proportional to $\frac{1}{\mathrm{x}^{6}}$
Moving Charges & Magnetism

153900 A wire of length $L$ metre carrying a current of I ampere is bent in the form of a circle. Its magnetic moment is

1 $\mathrm{IL}^{2} / 4 \mathrm{Am}^{2}$
2 $\mathrm{I} \pi \mathrm{L}^{2} / 4 \mathrm{Am}^{2}$
3 $2 \mathrm{IL}^{2} / \pi \mathrm{Am}^{2}$
4 $\mathrm{IL}^{2} / 4 \pi \mathrm{Am}^{2}$