Torque & Magnetic Dipole
PHXII04:MOVING CHARGES AND MAGNETISM

363011 A circular coil of radius 10\(cm\) and 100 turns carries a current 1\(A\). What is the magnetic moment of the coil?

1 \(3.142A{m^2}\)
2 \(3.142 \times {10^4}A{m^2}\)
3 \(3\;A\;{m^2}\)
4 \({10^4}\;A\;{m^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363012 The correct statement about magnetic moment is:

1 Its unit is \(amp - {m^2}\).
2 It is a vector quantity.
3 Its dimesions are \(A{L^2}\).
4 All of the above.
PHXII04:MOVING CHARGES AND MAGNETISM

363013 The dipole moment of a circular loop carrying a current \(I\), is \(m\) and the magnetic field at the centre of the loop is \(B_{1}\). Where the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is \(B_{2}\). The ratio \(\dfrac{B_{1}}{B_{2}}\) is:

1 \(\sqrt{3}\)
2 \(\sqrt{2}\)
3 \(\dfrac{1}{\sqrt{2}}\)
4 2
PHXII04:MOVING CHARGES AND MAGNETISM

363014 A uniform conducting wire of length \(12 a\) and resistance ' \(R\) ' is wound up as a current carrying coil in the shape of
(i) an equilateral triangle of side ' \(a\) '
(ii) a square of side ' \(a\) 'The magnetic dipole moments of the coil in each case respectively are

1 \(3 \mathrm{I} a^{2}\) and \(\mathrm{I} a^{2}\)
2 \(3 \mathrm{I} a^{2}\) and \(4 \mathrm{I} a^{2}\)
3 \(4 \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)
4 \(\sqrt{3} \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363011 A circular coil of radius 10\(cm\) and 100 turns carries a current 1\(A\). What is the magnetic moment of the coil?

1 \(3.142A{m^2}\)
2 \(3.142 \times {10^4}A{m^2}\)
3 \(3\;A\;{m^2}\)
4 \({10^4}\;A\;{m^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363012 The correct statement about magnetic moment is:

1 Its unit is \(amp - {m^2}\).
2 It is a vector quantity.
3 Its dimesions are \(A{L^2}\).
4 All of the above.
PHXII04:MOVING CHARGES AND MAGNETISM

363013 The dipole moment of a circular loop carrying a current \(I\), is \(m\) and the magnetic field at the centre of the loop is \(B_{1}\). Where the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is \(B_{2}\). The ratio \(\dfrac{B_{1}}{B_{2}}\) is:

1 \(\sqrt{3}\)
2 \(\sqrt{2}\)
3 \(\dfrac{1}{\sqrt{2}}\)
4 2
PHXII04:MOVING CHARGES AND MAGNETISM

363014 A uniform conducting wire of length \(12 a\) and resistance ' \(R\) ' is wound up as a current carrying coil in the shape of
(i) an equilateral triangle of side ' \(a\) '
(ii) a square of side ' \(a\) 'The magnetic dipole moments of the coil in each case respectively are

1 \(3 \mathrm{I} a^{2}\) and \(\mathrm{I} a^{2}\)
2 \(3 \mathrm{I} a^{2}\) and \(4 \mathrm{I} a^{2}\)
3 \(4 \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)
4 \(\sqrt{3} \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363011 A circular coil of radius 10\(cm\) and 100 turns carries a current 1\(A\). What is the magnetic moment of the coil?

1 \(3.142A{m^2}\)
2 \(3.142 \times {10^4}A{m^2}\)
3 \(3\;A\;{m^2}\)
4 \({10^4}\;A\;{m^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363012 The correct statement about magnetic moment is:

1 Its unit is \(amp - {m^2}\).
2 It is a vector quantity.
3 Its dimesions are \(A{L^2}\).
4 All of the above.
PHXII04:MOVING CHARGES AND MAGNETISM

363013 The dipole moment of a circular loop carrying a current \(I\), is \(m\) and the magnetic field at the centre of the loop is \(B_{1}\). Where the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is \(B_{2}\). The ratio \(\dfrac{B_{1}}{B_{2}}\) is:

1 \(\sqrt{3}\)
2 \(\sqrt{2}\)
3 \(\dfrac{1}{\sqrt{2}}\)
4 2
PHXII04:MOVING CHARGES AND MAGNETISM

363014 A uniform conducting wire of length \(12 a\) and resistance ' \(R\) ' is wound up as a current carrying coil in the shape of
(i) an equilateral triangle of side ' \(a\) '
(ii) a square of side ' \(a\) 'The magnetic dipole moments of the coil in each case respectively are

1 \(3 \mathrm{I} a^{2}\) and \(\mathrm{I} a^{2}\)
2 \(3 \mathrm{I} a^{2}\) and \(4 \mathrm{I} a^{2}\)
3 \(4 \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)
4 \(\sqrt{3} \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363011 A circular coil of radius 10\(cm\) and 100 turns carries a current 1\(A\). What is the magnetic moment of the coil?

1 \(3.142A{m^2}\)
2 \(3.142 \times {10^4}A{m^2}\)
3 \(3\;A\;{m^2}\)
4 \({10^4}\;A\;{m^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

363012 The correct statement about magnetic moment is:

1 Its unit is \(amp - {m^2}\).
2 It is a vector quantity.
3 Its dimesions are \(A{L^2}\).
4 All of the above.
PHXII04:MOVING CHARGES AND MAGNETISM

363013 The dipole moment of a circular loop carrying a current \(I\), is \(m\) and the magnetic field at the centre of the loop is \(B_{1}\). Where the dipole moment is doubled by keeping the current constant, the magnetic field at the centre of the loop is \(B_{2}\). The ratio \(\dfrac{B_{1}}{B_{2}}\) is:

1 \(\sqrt{3}\)
2 \(\sqrt{2}\)
3 \(\dfrac{1}{\sqrt{2}}\)
4 2
PHXII04:MOVING CHARGES AND MAGNETISM

363014 A uniform conducting wire of length \(12 a\) and resistance ' \(R\) ' is wound up as a current carrying coil in the shape of
(i) an equilateral triangle of side ' \(a\) '
(ii) a square of side ' \(a\) 'The magnetic dipole moments of the coil in each case respectively are

1 \(3 \mathrm{I} a^{2}\) and \(\mathrm{I} a^{2}\)
2 \(3 \mathrm{I} a^{2}\) and \(4 \mathrm{I} a^{2}\)
3 \(4 \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)
4 \(\sqrt{3} \mathrm{I} a^{2}\) and \(3 \mathrm{I} a^{2}\)