Torque & Magnetic Dipole
PHXII04:MOVING CHARGES AND MAGNETISM

363041 A current carrying small circular loop is placed at a distance \(2\,cm\) from an infinitely long current conductor as shown in the figure. Wire and loop lie in same plane. The loop has 100 turns, its effective radius is \(2\,cm\). The torque acting on the loop in the given situation is \(x{\mu _0}.\) Find the value of \(x\)
supporting img

1 2
2 7
3 4
4 8
PHXII04:MOVING CHARGES AND MAGNETISM

363042 The rectangular coil having 100 turns is present in a uniform magnetic field of \(\dfrac{0.05}{\sqrt{2}} \hat{\mathrm{j}}\) as shown in the figure. The torque acting on the loop is
supporting img

1 \(22.64 \times {10^{ - 4}}(Nm)\widehat k\)
2 \(11.32 \times {10^{ - 5}}(Nm)\widehat k\)
3 \(5.66 \times {10^{ - 5}}(Nm)\widehat k\quad \)
4 Zero
PHXII04:MOVING CHARGES AND MAGNETISM

363043 Torque acting on a rectangular coil carrying current ' \(i\) ' situated parallel to magnetic field of induction ' \(B\) ' having number of turns ' \(n\) ' and area ' \(\mathrm{A}\) ' is

1 \(n i(\widehat{A} \cdot \widehat{B})\)
2 \(\dfrac{n B A}{i}\)
3 \(n i(A \times B)\)
4 \(\dfrac{i B A}{n}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363044 A coil in the shape of an equilateral triangle of side \(0.02\;m\) is suspended from its vertex such that it is hanging in a vertical plane between the pole pieces of permanent magnet producing a uniform field of \(5 \times 10^{-2} T\). If a current of \(0.1\;A\) is passed through the coil, what is the couple acting?

1 \(5\sqrt 3 \times {10^{ - 7}}\) \(N\) - \(m\)
2 \(5\sqrt 3 \times {10^{ - 10}}\) \(N\) - \(m\)
3 \(\frac{{\sqrt 3 }}{5} \times {10^{ - 7}}\) \(N\) - \(m\)
4 None of the above
PHXII04:MOVING CHARGES AND MAGNETISM

363041 A current carrying small circular loop is placed at a distance \(2\,cm\) from an infinitely long current conductor as shown in the figure. Wire and loop lie in same plane. The loop has 100 turns, its effective radius is \(2\,cm\). The torque acting on the loop in the given situation is \(x{\mu _0}.\) Find the value of \(x\)
supporting img

1 2
2 7
3 4
4 8
PHXII04:MOVING CHARGES AND MAGNETISM

363042 The rectangular coil having 100 turns is present in a uniform magnetic field of \(\dfrac{0.05}{\sqrt{2}} \hat{\mathrm{j}}\) as shown in the figure. The torque acting on the loop is
supporting img

1 \(22.64 \times {10^{ - 4}}(Nm)\widehat k\)
2 \(11.32 \times {10^{ - 5}}(Nm)\widehat k\)
3 \(5.66 \times {10^{ - 5}}(Nm)\widehat k\quad \)
4 Zero
PHXII04:MOVING CHARGES AND MAGNETISM

363043 Torque acting on a rectangular coil carrying current ' \(i\) ' situated parallel to magnetic field of induction ' \(B\) ' having number of turns ' \(n\) ' and area ' \(\mathrm{A}\) ' is

1 \(n i(\widehat{A} \cdot \widehat{B})\)
2 \(\dfrac{n B A}{i}\)
3 \(n i(A \times B)\)
4 \(\dfrac{i B A}{n}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363044 A coil in the shape of an equilateral triangle of side \(0.02\;m\) is suspended from its vertex such that it is hanging in a vertical plane between the pole pieces of permanent magnet producing a uniform field of \(5 \times 10^{-2} T\). If a current of \(0.1\;A\) is passed through the coil, what is the couple acting?

1 \(5\sqrt 3 \times {10^{ - 7}}\) \(N\) - \(m\)
2 \(5\sqrt 3 \times {10^{ - 10}}\) \(N\) - \(m\)
3 \(\frac{{\sqrt 3 }}{5} \times {10^{ - 7}}\) \(N\) - \(m\)
4 None of the above
PHXII04:MOVING CHARGES AND MAGNETISM

363041 A current carrying small circular loop is placed at a distance \(2\,cm\) from an infinitely long current conductor as shown in the figure. Wire and loop lie in same plane. The loop has 100 turns, its effective radius is \(2\,cm\). The torque acting on the loop in the given situation is \(x{\mu _0}.\) Find the value of \(x\)
supporting img

1 2
2 7
3 4
4 8
PHXII04:MOVING CHARGES AND MAGNETISM

363042 The rectangular coil having 100 turns is present in a uniform magnetic field of \(\dfrac{0.05}{\sqrt{2}} \hat{\mathrm{j}}\) as shown in the figure. The torque acting on the loop is
supporting img

1 \(22.64 \times {10^{ - 4}}(Nm)\widehat k\)
2 \(11.32 \times {10^{ - 5}}(Nm)\widehat k\)
3 \(5.66 \times {10^{ - 5}}(Nm)\widehat k\quad \)
4 Zero
PHXII04:MOVING CHARGES AND MAGNETISM

363043 Torque acting on a rectangular coil carrying current ' \(i\) ' situated parallel to magnetic field of induction ' \(B\) ' having number of turns ' \(n\) ' and area ' \(\mathrm{A}\) ' is

1 \(n i(\widehat{A} \cdot \widehat{B})\)
2 \(\dfrac{n B A}{i}\)
3 \(n i(A \times B)\)
4 \(\dfrac{i B A}{n}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363044 A coil in the shape of an equilateral triangle of side \(0.02\;m\) is suspended from its vertex such that it is hanging in a vertical plane between the pole pieces of permanent magnet producing a uniform field of \(5 \times 10^{-2} T\). If a current of \(0.1\;A\) is passed through the coil, what is the couple acting?

1 \(5\sqrt 3 \times {10^{ - 7}}\) \(N\) - \(m\)
2 \(5\sqrt 3 \times {10^{ - 10}}\) \(N\) - \(m\)
3 \(\frac{{\sqrt 3 }}{5} \times {10^{ - 7}}\) \(N\) - \(m\)
4 None of the above
PHXII04:MOVING CHARGES AND MAGNETISM

363041 A current carrying small circular loop is placed at a distance \(2\,cm\) from an infinitely long current conductor as shown in the figure. Wire and loop lie in same plane. The loop has 100 turns, its effective radius is \(2\,cm\). The torque acting on the loop in the given situation is \(x{\mu _0}.\) Find the value of \(x\)
supporting img

1 2
2 7
3 4
4 8
PHXII04:MOVING CHARGES AND MAGNETISM

363042 The rectangular coil having 100 turns is present in a uniform magnetic field of \(\dfrac{0.05}{\sqrt{2}} \hat{\mathrm{j}}\) as shown in the figure. The torque acting on the loop is
supporting img

1 \(22.64 \times {10^{ - 4}}(Nm)\widehat k\)
2 \(11.32 \times {10^{ - 5}}(Nm)\widehat k\)
3 \(5.66 \times {10^{ - 5}}(Nm)\widehat k\quad \)
4 Zero
PHXII04:MOVING CHARGES AND MAGNETISM

363043 Torque acting on a rectangular coil carrying current ' \(i\) ' situated parallel to magnetic field of induction ' \(B\) ' having number of turns ' \(n\) ' and area ' \(\mathrm{A}\) ' is

1 \(n i(\widehat{A} \cdot \widehat{B})\)
2 \(\dfrac{n B A}{i}\)
3 \(n i(A \times B)\)
4 \(\dfrac{i B A}{n}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363044 A coil in the shape of an equilateral triangle of side \(0.02\;m\) is suspended from its vertex such that it is hanging in a vertical plane between the pole pieces of permanent magnet producing a uniform field of \(5 \times 10^{-2} T\). If a current of \(0.1\;A\) is passed through the coil, what is the couple acting?

1 \(5\sqrt 3 \times {10^{ - 7}}\) \(N\) - \(m\)
2 \(5\sqrt 3 \times {10^{ - 10}}\) \(N\) - \(m\)
3 \(\frac{{\sqrt 3 }}{5} \times {10^{ - 7}}\) \(N\) - \(m\)
4 None of the above