04. Force and Torque on Current Carrying Conductor
Moving Charges & Magnetism

153803 A conducting rod of $1 \mathrm{~m}$ length and $1 \mathrm{~kg}$ mass is suspended by two vertical wires through its ends. An external magnetic field of $2 \mathrm{~T}$ is applied normal to the rod. Now the current to be passed through the rod so as to make the tension in the wires zero is
[Take $\mathbf{g}=10 \mathrm{~ms}^{-2}$ ]

1 $0.5 \mathrm{~A}$
2 $15 \mathrm{~A}$
3 $5 \mathrm{~A}$
4 $1.5 \mathrm{~A}$
5 $2.5 \mathrm{~A}$
Moving Charges & Magnetism

153804 A magnet of length $0.1 \mathrm{~m}$ and pole strength $10^{-4}$ A-m is kept in a magnetic field of $30 \mathrm{~Wb} / \mathrm{m}^{2}$ at an angle $30^{\circ}$. The couple acting on it is $10^{-4} \mathrm{Nm}$.

1 7.5
2 3.0
3 4.5
4 6.0
5 1.5
Moving Charges & Magnetism

153805 Two straight long conductors AOB and COD are perpendicular to each other and carry currents $i_{1}$ and $i_{2}$. The magnitude of the magnetic induction at a point $P$ at a distance a from the point $O$ in a direction perpendicular to the plane $\mathrm{ABCD}$ is

1 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}+\mathrm{i}_{2}\right)$
2 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}-\mathrm{i}_{2}\right)$
3 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}^{2}+\mathrm{i}_{2}^{2}\right)^{1 / 2}$
4 $\frac{\mu_{0}}{2 \pi \mathrm{a}} \frac{\mathrm{i}_{1} \mathrm{i}_{2}}{\mathrm{i}_{1}+\mathrm{i}_{2}}$
Moving Charges & Magnetism

153806 A wire $P Q R$ is bent as shown in figure and is placed in a region of uniform magnetic field $B$. The length of $P Q=Q R=l$. A current $I$ ampere flows through the wire as shown. The magnitude of the force on $P Q$ and $Q R$ will be

1 $\mathrm{BI} l, 0$
2 $2 \mathrm{BI} l, 0$
3 $0, \mathrm{BI} l$
4 0,0
Moving Charges & Magnetism

153803 A conducting rod of $1 \mathrm{~m}$ length and $1 \mathrm{~kg}$ mass is suspended by two vertical wires through its ends. An external magnetic field of $2 \mathrm{~T}$ is applied normal to the rod. Now the current to be passed through the rod so as to make the tension in the wires zero is
[Take $\mathbf{g}=10 \mathrm{~ms}^{-2}$ ]

1 $0.5 \mathrm{~A}$
2 $15 \mathrm{~A}$
3 $5 \mathrm{~A}$
4 $1.5 \mathrm{~A}$
5 $2.5 \mathrm{~A}$
Moving Charges & Magnetism

153804 A magnet of length $0.1 \mathrm{~m}$ and pole strength $10^{-4}$ A-m is kept in a magnetic field of $30 \mathrm{~Wb} / \mathrm{m}^{2}$ at an angle $30^{\circ}$. The couple acting on it is $10^{-4} \mathrm{Nm}$.

1 7.5
2 3.0
3 4.5
4 6.0
5 1.5
Moving Charges & Magnetism

153805 Two straight long conductors AOB and COD are perpendicular to each other and carry currents $i_{1}$ and $i_{2}$. The magnitude of the magnetic induction at a point $P$ at a distance a from the point $O$ in a direction perpendicular to the plane $\mathrm{ABCD}$ is

1 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}+\mathrm{i}_{2}\right)$
2 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}-\mathrm{i}_{2}\right)$
3 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}^{2}+\mathrm{i}_{2}^{2}\right)^{1 / 2}$
4 $\frac{\mu_{0}}{2 \pi \mathrm{a}} \frac{\mathrm{i}_{1} \mathrm{i}_{2}}{\mathrm{i}_{1}+\mathrm{i}_{2}}$
Moving Charges & Magnetism

153806 A wire $P Q R$ is bent as shown in figure and is placed in a region of uniform magnetic field $B$. The length of $P Q=Q R=l$. A current $I$ ampere flows through the wire as shown. The magnitude of the force on $P Q$ and $Q R$ will be

1 $\mathrm{BI} l, 0$
2 $2 \mathrm{BI} l, 0$
3 $0, \mathrm{BI} l$
4 0,0
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153803 A conducting rod of $1 \mathrm{~m}$ length and $1 \mathrm{~kg}$ mass is suspended by two vertical wires through its ends. An external magnetic field of $2 \mathrm{~T}$ is applied normal to the rod. Now the current to be passed through the rod so as to make the tension in the wires zero is
[Take $\mathbf{g}=10 \mathrm{~ms}^{-2}$ ]

1 $0.5 \mathrm{~A}$
2 $15 \mathrm{~A}$
3 $5 \mathrm{~A}$
4 $1.5 \mathrm{~A}$
5 $2.5 \mathrm{~A}$
Moving Charges & Magnetism

153804 A magnet of length $0.1 \mathrm{~m}$ and pole strength $10^{-4}$ A-m is kept in a magnetic field of $30 \mathrm{~Wb} / \mathrm{m}^{2}$ at an angle $30^{\circ}$. The couple acting on it is $10^{-4} \mathrm{Nm}$.

1 7.5
2 3.0
3 4.5
4 6.0
5 1.5
Moving Charges & Magnetism

153805 Two straight long conductors AOB and COD are perpendicular to each other and carry currents $i_{1}$ and $i_{2}$. The magnitude of the magnetic induction at a point $P$ at a distance a from the point $O$ in a direction perpendicular to the plane $\mathrm{ABCD}$ is

1 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}+\mathrm{i}_{2}\right)$
2 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}-\mathrm{i}_{2}\right)$
3 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}^{2}+\mathrm{i}_{2}^{2}\right)^{1 / 2}$
4 $\frac{\mu_{0}}{2 \pi \mathrm{a}} \frac{\mathrm{i}_{1} \mathrm{i}_{2}}{\mathrm{i}_{1}+\mathrm{i}_{2}}$
Moving Charges & Magnetism

153806 A wire $P Q R$ is bent as shown in figure and is placed in a region of uniform magnetic field $B$. The length of $P Q=Q R=l$. A current $I$ ampere flows through the wire as shown. The magnitude of the force on $P Q$ and $Q R$ will be

1 $\mathrm{BI} l, 0$
2 $2 \mathrm{BI} l, 0$
3 $0, \mathrm{BI} l$
4 0,0
Moving Charges & Magnetism

153803 A conducting rod of $1 \mathrm{~m}$ length and $1 \mathrm{~kg}$ mass is suspended by two vertical wires through its ends. An external magnetic field of $2 \mathrm{~T}$ is applied normal to the rod. Now the current to be passed through the rod so as to make the tension in the wires zero is
[Take $\mathbf{g}=10 \mathrm{~ms}^{-2}$ ]

1 $0.5 \mathrm{~A}$
2 $15 \mathrm{~A}$
3 $5 \mathrm{~A}$
4 $1.5 \mathrm{~A}$
5 $2.5 \mathrm{~A}$
Moving Charges & Magnetism

153804 A magnet of length $0.1 \mathrm{~m}$ and pole strength $10^{-4}$ A-m is kept in a magnetic field of $30 \mathrm{~Wb} / \mathrm{m}^{2}$ at an angle $30^{\circ}$. The couple acting on it is $10^{-4} \mathrm{Nm}$.

1 7.5
2 3.0
3 4.5
4 6.0
5 1.5
Moving Charges & Magnetism

153805 Two straight long conductors AOB and COD are perpendicular to each other and carry currents $i_{1}$ and $i_{2}$. The magnitude of the magnetic induction at a point $P$ at a distance a from the point $O$ in a direction perpendicular to the plane $\mathrm{ABCD}$ is

1 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}+\mathrm{i}_{2}\right)$
2 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}-\mathrm{i}_{2}\right)$
3 $\frac{\mu_{0}}{2 \pi \mathrm{a}}\left(\mathrm{i}_{1}^{2}+\mathrm{i}_{2}^{2}\right)^{1 / 2}$
4 $\frac{\mu_{0}}{2 \pi \mathrm{a}} \frac{\mathrm{i}_{1} \mathrm{i}_{2}}{\mathrm{i}_{1}+\mathrm{i}_{2}}$
Moving Charges & Magnetism

153806 A wire $P Q R$ is bent as shown in figure and is placed in a region of uniform magnetic field $B$. The length of $P Q=Q R=l$. A current $I$ ampere flows through the wire as shown. The magnitude of the force on $P Q$ and $Q R$ will be

1 $\mathrm{BI} l, 0$
2 $2 \mathrm{BI} l, 0$
3 $0, \mathrm{BI} l$
4 0,0