06. Magnetic Dipole and Magnetic Moment Due to Current
Moving Charges & Magnetism

153887 The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_{A}=10 \mathrm{~cm}$ and $r_{B}=20 \mathrm{~cm}$ respectively are equal if: (Where $N_{A}, I_{A}$, and $N_{B}, I_{B}$ are number of turn and current of $A$ and $b$ respectively)

1 $2 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
2 $\mathrm{N}_{\mathrm{A}}=2 \mathrm{~N}_{\mathrm{B}}$
3 $\mathrm{N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=4 \mathrm{~N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
4 $4 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
Moving Charges & Magnetism

153888 Two concentric circular loops of radii $r_{1}=30$ $\mathrm{cm}$ and $r_{2}=50 \mathrm{~cm}$ are placed in $X-Y$ plane as shown in the figure. A current $I=7 \mathrm{~A}$ is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately:

1 $\frac{7}{2} \hat{\mathrm{K}} \mathrm{Am}^{2}$
2 $-\frac{7}{2} \hat{\mathrm{k}} \mathrm{Am}^{2}$
3 $7 \hat{\mathrm{k} \mathrm{Am}}$
4 $-7 \hat{\mathrm{k} \mathrm{Am}}{ }^{2}$
Moving Charges & Magnetism

153889 A bar magnet having a magnetic moment of 2.0 $\times 10^{5} \mathrm{JT}^{-1}$, is placed along the direction of uniform magnetic field of magnitude $B=14 \times$ $10^{-5} \mathrm{~T}$. The work done in rotating the magnet slowly through $60^{\circ}$ from the direction of field is:

1 $14 \mathrm{~J}$
2 $8.4 \mathrm{~J}$
3 $4 \mathrm{~J}$
4 $1.4 \mathrm{~J}$
Moving Charges & Magnetism

153890 A thin magnetic needle is placed in a magnetic field of $200 \mathrm{G}$ with its axis at $30^{\circ}$ to the direction of the field. find the magnetic moment of the needle if it experience a torque of $\mathbf{0 . 0 1 2}$ $\mathrm{Nm}$ in this field.

1 $1.2 \mathrm{Am}^{2}$
2 $12.0 \mathrm{Am}^{2}$
3 $0.6 \mathrm{Am}^{2}$
4 $6.0 \mathrm{Am}^{2}$
Moving Charges & Magnetism

153891 A bar magnet of length ' $l$ ' and magnetic dipole moment ' $M$ ' is bent in the form of an arc as shown in fig. The new magnetic dipole moment will be-

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

153887 The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_{A}=10 \mathrm{~cm}$ and $r_{B}=20 \mathrm{~cm}$ respectively are equal if: (Where $N_{A}, I_{A}$, and $N_{B}, I_{B}$ are number of turn and current of $A$ and $b$ respectively)

1 $2 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
2 $\mathrm{N}_{\mathrm{A}}=2 \mathrm{~N}_{\mathrm{B}}$
3 $\mathrm{N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=4 \mathrm{~N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
4 $4 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
Moving Charges & Magnetism

153888 Two concentric circular loops of radii $r_{1}=30$ $\mathrm{cm}$ and $r_{2}=50 \mathrm{~cm}$ are placed in $X-Y$ plane as shown in the figure. A current $I=7 \mathrm{~A}$ is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately:

1 $\frac{7}{2} \hat{\mathrm{K}} \mathrm{Am}^{2}$
2 $-\frac{7}{2} \hat{\mathrm{k}} \mathrm{Am}^{2}$
3 $7 \hat{\mathrm{k} \mathrm{Am}}$
4 $-7 \hat{\mathrm{k} \mathrm{Am}}{ }^{2}$
Moving Charges & Magnetism

153889 A bar magnet having a magnetic moment of 2.0 $\times 10^{5} \mathrm{JT}^{-1}$, is placed along the direction of uniform magnetic field of magnitude $B=14 \times$ $10^{-5} \mathrm{~T}$. The work done in rotating the magnet slowly through $60^{\circ}$ from the direction of field is:

1 $14 \mathrm{~J}$
2 $8.4 \mathrm{~J}$
3 $4 \mathrm{~J}$
4 $1.4 \mathrm{~J}$
Moving Charges & Magnetism

153890 A thin magnetic needle is placed in a magnetic field of $200 \mathrm{G}$ with its axis at $30^{\circ}$ to the direction of the field. find the magnetic moment of the needle if it experience a torque of $\mathbf{0 . 0 1 2}$ $\mathrm{Nm}$ in this field.

1 $1.2 \mathrm{Am}^{2}$
2 $12.0 \mathrm{Am}^{2}$
3 $0.6 \mathrm{Am}^{2}$
4 $6.0 \mathrm{Am}^{2}$
Moving Charges & Magnetism

153891 A bar magnet of length ' $l$ ' and magnetic dipole moment ' $M$ ' is bent in the form of an arc as shown in fig. The new magnetic dipole moment will be-

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

153887 The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_{A}=10 \mathrm{~cm}$ and $r_{B}=20 \mathrm{~cm}$ respectively are equal if: (Where $N_{A}, I_{A}$, and $N_{B}, I_{B}$ are number of turn and current of $A$ and $b$ respectively)

1 $2 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
2 $\mathrm{N}_{\mathrm{A}}=2 \mathrm{~N}_{\mathrm{B}}$
3 $\mathrm{N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=4 \mathrm{~N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
4 $4 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
Moving Charges & Magnetism

153888 Two concentric circular loops of radii $r_{1}=30$ $\mathrm{cm}$ and $r_{2}=50 \mathrm{~cm}$ are placed in $X-Y$ plane as shown in the figure. A current $I=7 \mathrm{~A}$ is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately:

1 $\frac{7}{2} \hat{\mathrm{K}} \mathrm{Am}^{2}$
2 $-\frac{7}{2} \hat{\mathrm{k}} \mathrm{Am}^{2}$
3 $7 \hat{\mathrm{k} \mathrm{Am}}$
4 $-7 \hat{\mathrm{k} \mathrm{Am}}{ }^{2}$
Moving Charges & Magnetism

153889 A bar magnet having a magnetic moment of 2.0 $\times 10^{5} \mathrm{JT}^{-1}$, is placed along the direction of uniform magnetic field of magnitude $B=14 \times$ $10^{-5} \mathrm{~T}$. The work done in rotating the magnet slowly through $60^{\circ}$ from the direction of field is:

1 $14 \mathrm{~J}$
2 $8.4 \mathrm{~J}$
3 $4 \mathrm{~J}$
4 $1.4 \mathrm{~J}$
Moving Charges & Magnetism

153890 A thin magnetic needle is placed in a magnetic field of $200 \mathrm{G}$ with its axis at $30^{\circ}$ to the direction of the field. find the magnetic moment of the needle if it experience a torque of $\mathbf{0 . 0 1 2}$ $\mathrm{Nm}$ in this field.

1 $1.2 \mathrm{Am}^{2}$
2 $12.0 \mathrm{Am}^{2}$
3 $0.6 \mathrm{Am}^{2}$
4 $6.0 \mathrm{Am}^{2}$
Moving Charges & Magnetism

153891 A bar magnet of length ' $l$ ' and magnetic dipole moment ' $M$ ' is bent in the form of an arc as shown in fig. The new magnetic dipole moment will be-

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

153887 The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_{A}=10 \mathrm{~cm}$ and $r_{B}=20 \mathrm{~cm}$ respectively are equal if: (Where $N_{A}, I_{A}$, and $N_{B}, I_{B}$ are number of turn and current of $A$ and $b$ respectively)

1 $2 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
2 $\mathrm{N}_{\mathrm{A}}=2 \mathrm{~N}_{\mathrm{B}}$
3 $\mathrm{N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=4 \mathrm{~N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
4 $4 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
Moving Charges & Magnetism

153888 Two concentric circular loops of radii $r_{1}=30$ $\mathrm{cm}$ and $r_{2}=50 \mathrm{~cm}$ are placed in $X-Y$ plane as shown in the figure. A current $I=7 \mathrm{~A}$ is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately:

1 $\frac{7}{2} \hat{\mathrm{K}} \mathrm{Am}^{2}$
2 $-\frac{7}{2} \hat{\mathrm{k}} \mathrm{Am}^{2}$
3 $7 \hat{\mathrm{k} \mathrm{Am}}$
4 $-7 \hat{\mathrm{k} \mathrm{Am}}{ }^{2}$
Moving Charges & Magnetism

153889 A bar magnet having a magnetic moment of 2.0 $\times 10^{5} \mathrm{JT}^{-1}$, is placed along the direction of uniform magnetic field of magnitude $B=14 \times$ $10^{-5} \mathrm{~T}$. The work done in rotating the magnet slowly through $60^{\circ}$ from the direction of field is:

1 $14 \mathrm{~J}$
2 $8.4 \mathrm{~J}$
3 $4 \mathrm{~J}$
4 $1.4 \mathrm{~J}$
Moving Charges & Magnetism

153890 A thin magnetic needle is placed in a magnetic field of $200 \mathrm{G}$ with its axis at $30^{\circ}$ to the direction of the field. find the magnetic moment of the needle if it experience a torque of $\mathbf{0 . 0 1 2}$ $\mathrm{Nm}$ in this field.

1 $1.2 \mathrm{Am}^{2}$
2 $12.0 \mathrm{Am}^{2}$
3 $0.6 \mathrm{Am}^{2}$
4 $6.0 \mathrm{Am}^{2}$
Moving Charges & Magnetism

153891 A bar magnet of length ' $l$ ' and magnetic dipole moment ' $M$ ' is bent in the form of an arc as shown in fig. The new magnetic dipole moment will be-

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

153887 The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_{A}=10 \mathrm{~cm}$ and $r_{B}=20 \mathrm{~cm}$ respectively are equal if: (Where $N_{A}, I_{A}$, and $N_{B}, I_{B}$ are number of turn and current of $A$ and $b$ respectively)

1 $2 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
2 $\mathrm{N}_{\mathrm{A}}=2 \mathrm{~N}_{\mathrm{B}}$
3 $\mathrm{N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=4 \mathrm{~N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
4 $4 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}$
Moving Charges & Magnetism

153888 Two concentric circular loops of radii $r_{1}=30$ $\mathrm{cm}$ and $r_{2}=50 \mathrm{~cm}$ are placed in $X-Y$ plane as shown in the figure. A current $I=7 \mathrm{~A}$ is flowing through them in the direction as shown in figure. The net magnetic moment of this system of two circular loops is approximately:

1 $\frac{7}{2} \hat{\mathrm{K}} \mathrm{Am}^{2}$
2 $-\frac{7}{2} \hat{\mathrm{k}} \mathrm{Am}^{2}$
3 $7 \hat{\mathrm{k} \mathrm{Am}}$
4 $-7 \hat{\mathrm{k} \mathrm{Am}}{ }^{2}$
Moving Charges & Magnetism

153889 A bar magnet having a magnetic moment of 2.0 $\times 10^{5} \mathrm{JT}^{-1}$, is placed along the direction of uniform magnetic field of magnitude $B=14 \times$ $10^{-5} \mathrm{~T}$. The work done in rotating the magnet slowly through $60^{\circ}$ from the direction of field is:

1 $14 \mathrm{~J}$
2 $8.4 \mathrm{~J}$
3 $4 \mathrm{~J}$
4 $1.4 \mathrm{~J}$
Moving Charges & Magnetism

153890 A thin magnetic needle is placed in a magnetic field of $200 \mathrm{G}$ with its axis at $30^{\circ}$ to the direction of the field. find the magnetic moment of the needle if it experience a torque of $\mathbf{0 . 0 1 2}$ $\mathrm{Nm}$ in this field.

1 $1.2 \mathrm{Am}^{2}$
2 $12.0 \mathrm{Am}^{2}$
3 $0.6 \mathrm{Am}^{2}$
4 $6.0 \mathrm{Am}^{2}$
Moving Charges & Magnetism

153891 A bar magnet of length ' $l$ ' and magnetic dipole moment ' $M$ ' is bent in the form of an arc as shown in fig. The new magnetic dipole moment will be-

1 $\frac{M}{2}$
2 $\mathrm{M}$
3 $\frac{3 \mathrm{M}}{\pi}$
4 $\frac{2 \mathrm{M}}{\pi}$