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

153793 Two wires of same lengths are shaped into a square and a circle. If they carry same current, then the ratio of their magnetic moments is

1 $2: \pi$
2 $\pi: 2$
3 $\pi: 4$
4 $4: \pi$
Moving Charges & Magnetism

153794 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $B$ is in the plane of the coil. If due to current $I$ in the triangle, a torque $\tau$ acts on it. The side $l$ of the triangle is

1 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)$
2 $2\left(\frac{\tau}{\sqrt{3} \mathrm{Bi}}\right)^{1 / 2}$
3 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)^{1 / 2}$
4 $\frac{1}{\sqrt{3}} \frac{\tau}{\mathrm{Bi}}$
Moving Charges & Magnetism

153795 Two very long straight wires $P$ and $Q$ carry currents of $10 \mathrm{~A}$ and $20 \mathrm{~A}$ respectively and are at $20 \mathrm{~cm}$ apart. If a third wire, $R$ of length 15 cm having a current of $10 \mathrm{~A}$ is placed in middle between them, the direction of current in all the three wires is the same. How much force will act on $R$ ?

1 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{Q}$
2 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{P}$
3 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{Q}$
4 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{P}$
Moving Charges & Magnetism

153796 A linear conductor of length $40 \mathrm{~cm}$ and carrying current $3 \mathrm{~A}$ is placed in a uniform magnetic field of intensity 500 Gauss. If the conductor makes an angle $30^{\circ}$ with the direction of magnetic field, the force acting on it as

1 $3 \times 10^{4} \mathrm{~N}$
2 $3 \times 10^{2} \mathrm{~N}$
3 $3 \times 10^{-2} \mathrm{~N}$
4 None of these
Moving Charges & Magnetism

153798 A coil has 25 turns and $10 \mathrm{~cm}$ radius. If it carries a $4 \mathrm{~A}$ current, then magnetic field at its centre is

1 $6.28 \times 10^{-5} \mathrm{~T}$
2 $6.28 \times 10^{-3} \mathrm{~T}$
3 $6.28 \times 10^{-4} \mathrm{~T}$
4 $6.28 \times 10^{-2} \mathrm{~T}$
Moving Charges & Magnetism

153793 Two wires of same lengths are shaped into a square and a circle. If they carry same current, then the ratio of their magnetic moments is

1 $2: \pi$
2 $\pi: 2$
3 $\pi: 4$
4 $4: \pi$
Moving Charges & Magnetism

153794 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $B$ is in the plane of the coil. If due to current $I$ in the triangle, a torque $\tau$ acts on it. The side $l$ of the triangle is

1 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)$
2 $2\left(\frac{\tau}{\sqrt{3} \mathrm{Bi}}\right)^{1 / 2}$
3 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)^{1 / 2}$
4 $\frac{1}{\sqrt{3}} \frac{\tau}{\mathrm{Bi}}$
Moving Charges & Magnetism

153795 Two very long straight wires $P$ and $Q$ carry currents of $10 \mathrm{~A}$ and $20 \mathrm{~A}$ respectively and are at $20 \mathrm{~cm}$ apart. If a third wire, $R$ of length 15 cm having a current of $10 \mathrm{~A}$ is placed in middle between them, the direction of current in all the three wires is the same. How much force will act on $R$ ?

1 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{Q}$
2 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{P}$
3 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{Q}$
4 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{P}$
Moving Charges & Magnetism

153796 A linear conductor of length $40 \mathrm{~cm}$ and carrying current $3 \mathrm{~A}$ is placed in a uniform magnetic field of intensity 500 Gauss. If the conductor makes an angle $30^{\circ}$ with the direction of magnetic field, the force acting on it as

1 $3 \times 10^{4} \mathrm{~N}$
2 $3 \times 10^{2} \mathrm{~N}$
3 $3 \times 10^{-2} \mathrm{~N}$
4 None of these
Moving Charges & Magnetism

153798 A coil has 25 turns and $10 \mathrm{~cm}$ radius. If it carries a $4 \mathrm{~A}$ current, then magnetic field at its centre is

1 $6.28 \times 10^{-5} \mathrm{~T}$
2 $6.28 \times 10^{-3} \mathrm{~T}$
3 $6.28 \times 10^{-4} \mathrm{~T}$
4 $6.28 \times 10^{-2} \mathrm{~T}$
Moving Charges & Magnetism

153793 Two wires of same lengths are shaped into a square and a circle. If they carry same current, then the ratio of their magnetic moments is

1 $2: \pi$
2 $\pi: 2$
3 $\pi: 4$
4 $4: \pi$
Moving Charges & Magnetism

153794 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $B$ is in the plane of the coil. If due to current $I$ in the triangle, a torque $\tau$ acts on it. The side $l$ of the triangle is

1 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)$
2 $2\left(\frac{\tau}{\sqrt{3} \mathrm{Bi}}\right)^{1 / 2}$
3 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)^{1 / 2}$
4 $\frac{1}{\sqrt{3}} \frac{\tau}{\mathrm{Bi}}$
Moving Charges & Magnetism

153795 Two very long straight wires $P$ and $Q$ carry currents of $10 \mathrm{~A}$ and $20 \mathrm{~A}$ respectively and are at $20 \mathrm{~cm}$ apart. If a third wire, $R$ of length 15 cm having a current of $10 \mathrm{~A}$ is placed in middle between them, the direction of current in all the three wires is the same. How much force will act on $R$ ?

1 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{Q}$
2 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{P}$
3 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{Q}$
4 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{P}$
Moving Charges & Magnetism

153796 A linear conductor of length $40 \mathrm{~cm}$ and carrying current $3 \mathrm{~A}$ is placed in a uniform magnetic field of intensity 500 Gauss. If the conductor makes an angle $30^{\circ}$ with the direction of magnetic field, the force acting on it as

1 $3 \times 10^{4} \mathrm{~N}$
2 $3 \times 10^{2} \mathrm{~N}$
3 $3 \times 10^{-2} \mathrm{~N}$
4 None of these
Moving Charges & Magnetism

153798 A coil has 25 turns and $10 \mathrm{~cm}$ radius. If it carries a $4 \mathrm{~A}$ current, then magnetic field at its centre is

1 $6.28 \times 10^{-5} \mathrm{~T}$
2 $6.28 \times 10^{-3} \mathrm{~T}$
3 $6.28 \times 10^{-4} \mathrm{~T}$
4 $6.28 \times 10^{-2} \mathrm{~T}$
Moving Charges & Magnetism

153793 Two wires of same lengths are shaped into a square and a circle. If they carry same current, then the ratio of their magnetic moments is

1 $2: \pi$
2 $\pi: 2$
3 $\pi: 4$
4 $4: \pi$
Moving Charges & Magnetism

153794 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $B$ is in the plane of the coil. If due to current $I$ in the triangle, a torque $\tau$ acts on it. The side $l$ of the triangle is

1 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)$
2 $2\left(\frac{\tau}{\sqrt{3} \mathrm{Bi}}\right)^{1 / 2}$
3 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)^{1 / 2}$
4 $\frac{1}{\sqrt{3}} \frac{\tau}{\mathrm{Bi}}$
Moving Charges & Magnetism

153795 Two very long straight wires $P$ and $Q$ carry currents of $10 \mathrm{~A}$ and $20 \mathrm{~A}$ respectively and are at $20 \mathrm{~cm}$ apart. If a third wire, $R$ of length 15 cm having a current of $10 \mathrm{~A}$ is placed in middle between them, the direction of current in all the three wires is the same. How much force will act on $R$ ?

1 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{Q}$
2 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{P}$
3 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{Q}$
4 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{P}$
Moving Charges & Magnetism

153796 A linear conductor of length $40 \mathrm{~cm}$ and carrying current $3 \mathrm{~A}$ is placed in a uniform magnetic field of intensity 500 Gauss. If the conductor makes an angle $30^{\circ}$ with the direction of magnetic field, the force acting on it as

1 $3 \times 10^{4} \mathrm{~N}$
2 $3 \times 10^{2} \mathrm{~N}$
3 $3 \times 10^{-2} \mathrm{~N}$
4 None of these
Moving Charges & Magnetism

153798 A coil has 25 turns and $10 \mathrm{~cm}$ radius. If it carries a $4 \mathrm{~A}$ current, then magnetic field at its centre is

1 $6.28 \times 10^{-5} \mathrm{~T}$
2 $6.28 \times 10^{-3} \mathrm{~T}$
3 $6.28 \times 10^{-4} \mathrm{~T}$
4 $6.28 \times 10^{-2} \mathrm{~T}$
Moving Charges & Magnetism

153793 Two wires of same lengths are shaped into a square and a circle. If they carry same current, then the ratio of their magnetic moments is

1 $2: \pi$
2 $\pi: 2$
3 $\pi: 4$
4 $4: \pi$
Moving Charges & Magnetism

153794 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $B$ is in the plane of the coil. If due to current $I$ in the triangle, a torque $\tau$ acts on it. The side $l$ of the triangle is

1 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)$
2 $2\left(\frac{\tau}{\sqrt{3} \mathrm{Bi}}\right)^{1 / 2}$
3 $\frac{2}{\sqrt{3}}\left(\frac{\tau}{\mathrm{Bi}}\right)^{1 / 2}$
4 $\frac{1}{\sqrt{3}} \frac{\tau}{\mathrm{Bi}}$
Moving Charges & Magnetism

153795 Two very long straight wires $P$ and $Q$ carry currents of $10 \mathrm{~A}$ and $20 \mathrm{~A}$ respectively and are at $20 \mathrm{~cm}$ apart. If a third wire, $R$ of length 15 cm having a current of $10 \mathrm{~A}$ is placed in middle between them, the direction of current in all the three wires is the same. How much force will act on $R$ ?

1 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{Q}$
2 $3.0 \times 10^{-5} \mathrm{~N}$ towards $\mathrm{P}$
3 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{Q}$
4 $3.0 \times 10^{-7} \mathrm{~N}$ towards $\mathrm{P}$
Moving Charges & Magnetism

153796 A linear conductor of length $40 \mathrm{~cm}$ and carrying current $3 \mathrm{~A}$ is placed in a uniform magnetic field of intensity 500 Gauss. If the conductor makes an angle $30^{\circ}$ with the direction of magnetic field, the force acting on it as

1 $3 \times 10^{4} \mathrm{~N}$
2 $3 \times 10^{2} \mathrm{~N}$
3 $3 \times 10^{-2} \mathrm{~N}$
4 None of these
Moving Charges & Magnetism

153798 A coil has 25 turns and $10 \mathrm{~cm}$ radius. If it carries a $4 \mathrm{~A}$ current, then magnetic field at its centre is

1 $6.28 \times 10^{-5} \mathrm{~T}$
2 $6.28 \times 10^{-3} \mathrm{~T}$
3 $6.28 \times 10^{-4} \mathrm{~T}$
4 $6.28 \times 10^{-2} \mathrm{~T}$