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

153844 A current carrying closed loop in the form of a right angled isosceles $\triangle \mathrm{ABC}$ is placed in a uniform magnetic field acting along $\mathrm{AB}$. If the magnetic force on the $\operatorname{arm} B C$ is $F$, the force on the arm $\mathrm{AC}$ is

1 $-\mathrm{F}$
2 $\mathrm{F}$
3 $\sqrt{2 \mathrm{~F}}$
4 $-\sqrt{2 \mathrm{~F}}$
Moving Charges & Magnetism

153845 A square current carrying loop is suspended in a uniform magnetic field acting in the place of the loop. If the force on one arm of the loop is $F$, the net force on the remaining three arms of the loop is

1 $3 \mathrm{~F}$
2 $-\mathrm{F}$
3 $-3 \mathrm{~F}$
4 $\mathrm{F}$
Moving Charges & Magnetism

153846 A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_{1}, F_{2}$ and $F_{3}$ respectively and are in the plane of the paper and along the directions shown in figure, the force on the segment $Q P$ is

1 $\mathrm{F}_{3}-\mathrm{F}_{1}-\mathrm{F}_{2}$
2 $\sqrt{\left(F_{3}-F_{1}\right)^{2}+F_{2}^{2}}$
3 $\sqrt{\left(\mathrm{F}_{3}-\mathrm{F}_{1}\right)^{2}-\mathrm{F}_{2}^{2}}$
4 $\mathrm{F}_{3}-\mathrm{F}_{1}+\mathrm{F}_{2}$
Moving Charges & Magnetism

153847 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $F$ is in plane of the coil. If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side $l$ of the triangle is

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

153844 A current carrying closed loop in the form of a right angled isosceles $\triangle \mathrm{ABC}$ is placed in a uniform magnetic field acting along $\mathrm{AB}$. If the magnetic force on the $\operatorname{arm} B C$ is $F$, the force on the arm $\mathrm{AC}$ is

1 $-\mathrm{F}$
2 $\mathrm{F}$
3 $\sqrt{2 \mathrm{~F}}$
4 $-\sqrt{2 \mathrm{~F}}$
Moving Charges & Magnetism

153845 A square current carrying loop is suspended in a uniform magnetic field acting in the place of the loop. If the force on one arm of the loop is $F$, the net force on the remaining three arms of the loop is

1 $3 \mathrm{~F}$
2 $-\mathrm{F}$
3 $-3 \mathrm{~F}$
4 $\mathrm{F}$
Moving Charges & Magnetism

153846 A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_{1}, F_{2}$ and $F_{3}$ respectively and are in the plane of the paper and along the directions shown in figure, the force on the segment $Q P$ is

1 $\mathrm{F}_{3}-\mathrm{F}_{1}-\mathrm{F}_{2}$
2 $\sqrt{\left(F_{3}-F_{1}\right)^{2}+F_{2}^{2}}$
3 $\sqrt{\left(\mathrm{F}_{3}-\mathrm{F}_{1}\right)^{2}-\mathrm{F}_{2}^{2}}$
4 $\mathrm{F}_{3}-\mathrm{F}_{1}+\mathrm{F}_{2}$
Moving Charges & Magnetism

153847 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $F$ is in plane of the coil. If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side $l$ of the triangle is

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

153844 A current carrying closed loop in the form of a right angled isosceles $\triangle \mathrm{ABC}$ is placed in a uniform magnetic field acting along $\mathrm{AB}$. If the magnetic force on the $\operatorname{arm} B C$ is $F$, the force on the arm $\mathrm{AC}$ is

1 $-\mathrm{F}$
2 $\mathrm{F}$
3 $\sqrt{2 \mathrm{~F}}$
4 $-\sqrt{2 \mathrm{~F}}$
Moving Charges & Magnetism

153845 A square current carrying loop is suspended in a uniform magnetic field acting in the place of the loop. If the force on one arm of the loop is $F$, the net force on the remaining three arms of the loop is

1 $3 \mathrm{~F}$
2 $-\mathrm{F}$
3 $-3 \mathrm{~F}$
4 $\mathrm{F}$
Moving Charges & Magnetism

153846 A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_{1}, F_{2}$ and $F_{3}$ respectively and are in the plane of the paper and along the directions shown in figure, the force on the segment $Q P$ is

1 $\mathrm{F}_{3}-\mathrm{F}_{1}-\mathrm{F}_{2}$
2 $\sqrt{\left(F_{3}-F_{1}\right)^{2}+F_{2}^{2}}$
3 $\sqrt{\left(\mathrm{F}_{3}-\mathrm{F}_{1}\right)^{2}-\mathrm{F}_{2}^{2}}$
4 $\mathrm{F}_{3}-\mathrm{F}_{1}+\mathrm{F}_{2}$
Moving Charges & Magnetism

153847 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $F$ is in plane of the coil. If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side $l$ of the triangle is

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

153844 A current carrying closed loop in the form of a right angled isosceles $\triangle \mathrm{ABC}$ is placed in a uniform magnetic field acting along $\mathrm{AB}$. If the magnetic force on the $\operatorname{arm} B C$ is $F$, the force on the arm $\mathrm{AC}$ is

1 $-\mathrm{F}$
2 $\mathrm{F}$
3 $\sqrt{2 \mathrm{~F}}$
4 $-\sqrt{2 \mathrm{~F}}$
Moving Charges & Magnetism

153845 A square current carrying loop is suspended in a uniform magnetic field acting in the place of the loop. If the force on one arm of the loop is $F$, the net force on the remaining three arms of the loop is

1 $3 \mathrm{~F}$
2 $-\mathrm{F}$
3 $-3 \mathrm{~F}$
4 $\mathrm{F}$
Moving Charges & Magnetism

153846 A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_{1}, F_{2}$ and $F_{3}$ respectively and are in the plane of the paper and along the directions shown in figure, the force on the segment $Q P$ is

1 $\mathrm{F}_{3}-\mathrm{F}_{1}-\mathrm{F}_{2}$
2 $\sqrt{\left(F_{3}-F_{1}\right)^{2}+F_{2}^{2}}$
3 $\sqrt{\left(\mathrm{F}_{3}-\mathrm{F}_{1}\right)^{2}-\mathrm{F}_{2}^{2}}$
4 $\mathrm{F}_{3}-\mathrm{F}_{1}+\mathrm{F}_{2}$
Moving Charges & Magnetism

153847 A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $F$ is in plane of the coil. If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side $l$ of the triangle is

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