Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362566 Two similar coils of radius \(R\) are lying concentrically with their planes at right angles to each other. The currents flowing in them are \(21\) and \(41\) respectively. The resultant magnetic field induction at the centre is found to be \(N\) times \(\frac{{{\mu _0}I}}{R}\). Find the value of \(N\) is (Take \(\sqrt{5}=2.24\) )

1 1.15
2 3.58
3 5.27
4 2.24
PHXII04:MOVING CHARGES AND MAGNETISM

362567 Two concentric circular loops of radii \(r_{1}\) and \(r_{2}\) carry clockwise and anticlockwise currents \(i_{1}\) and \(\mathrm{i}_{2}\). If the centre is a null point, \({i_1}/{i_2}\) must be equal to

1 \(r_{2} / r_{1}\)
2 \(r_{2}{ }^{2} / r_{1}{ }^{2}\)
3 \(r_{1}^{2} / r_{2}^{2}\)
4 \(r_{1} / r_{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362568 A circular coil carrying a certain current produces a magnetic field \(B_{0}\) at its centre. The coil is now rewound so as to have 4 turns and the same current is passed through it. The new magnetic field at the centre is:

1 \(\dfrac{B_{0}}{16}\)
2 \(16 B_{0}\)
3 \(\dfrac{B_{0}}{4}\)
4 \(4 B_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362569 A coil having 9 turns carrying a current produces magnetic filed \({B_{1}}\) at the centre. Now the coil is rewounded into 3 turns carrying same current. Then the magnetic field at the centre \({B_{2}=}\)

1 \({\dfrac{B_{1}}{9}}\)
2 \({9 B_{1}}\)
3 \({3 B_{1}}\)
4 \({\dfrac{B_{1}}{3}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362566 Two similar coils of radius \(R\) are lying concentrically with their planes at right angles to each other. The currents flowing in them are \(21\) and \(41\) respectively. The resultant magnetic field induction at the centre is found to be \(N\) times \(\frac{{{\mu _0}I}}{R}\). Find the value of \(N\) is (Take \(\sqrt{5}=2.24\) )

1 1.15
2 3.58
3 5.27
4 2.24
PHXII04:MOVING CHARGES AND MAGNETISM

362567 Two concentric circular loops of radii \(r_{1}\) and \(r_{2}\) carry clockwise and anticlockwise currents \(i_{1}\) and \(\mathrm{i}_{2}\). If the centre is a null point, \({i_1}/{i_2}\) must be equal to

1 \(r_{2} / r_{1}\)
2 \(r_{2}{ }^{2} / r_{1}{ }^{2}\)
3 \(r_{1}^{2} / r_{2}^{2}\)
4 \(r_{1} / r_{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362568 A circular coil carrying a certain current produces a magnetic field \(B_{0}\) at its centre. The coil is now rewound so as to have 4 turns and the same current is passed through it. The new magnetic field at the centre is:

1 \(\dfrac{B_{0}}{16}\)
2 \(16 B_{0}\)
3 \(\dfrac{B_{0}}{4}\)
4 \(4 B_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362569 A coil having 9 turns carrying a current produces magnetic filed \({B_{1}}\) at the centre. Now the coil is rewounded into 3 turns carrying same current. Then the magnetic field at the centre \({B_{2}=}\)

1 \({\dfrac{B_{1}}{9}}\)
2 \({9 B_{1}}\)
3 \({3 B_{1}}\)
4 \({\dfrac{B_{1}}{3}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362566 Two similar coils of radius \(R\) are lying concentrically with their planes at right angles to each other. The currents flowing in them are \(21\) and \(41\) respectively. The resultant magnetic field induction at the centre is found to be \(N\) times \(\frac{{{\mu _0}I}}{R}\). Find the value of \(N\) is (Take \(\sqrt{5}=2.24\) )

1 1.15
2 3.58
3 5.27
4 2.24
PHXII04:MOVING CHARGES AND MAGNETISM

362567 Two concentric circular loops of radii \(r_{1}\) and \(r_{2}\) carry clockwise and anticlockwise currents \(i_{1}\) and \(\mathrm{i}_{2}\). If the centre is a null point, \({i_1}/{i_2}\) must be equal to

1 \(r_{2} / r_{1}\)
2 \(r_{2}{ }^{2} / r_{1}{ }^{2}\)
3 \(r_{1}^{2} / r_{2}^{2}\)
4 \(r_{1} / r_{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362568 A circular coil carrying a certain current produces a magnetic field \(B_{0}\) at its centre. The coil is now rewound so as to have 4 turns and the same current is passed through it. The new magnetic field at the centre is:

1 \(\dfrac{B_{0}}{16}\)
2 \(16 B_{0}\)
3 \(\dfrac{B_{0}}{4}\)
4 \(4 B_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362569 A coil having 9 turns carrying a current produces magnetic filed \({B_{1}}\) at the centre. Now the coil is rewounded into 3 turns carrying same current. Then the magnetic field at the centre \({B_{2}=}\)

1 \({\dfrac{B_{1}}{9}}\)
2 \({9 B_{1}}\)
3 \({3 B_{1}}\)
4 \({\dfrac{B_{1}}{3}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362566 Two similar coils of radius \(R\) are lying concentrically with their planes at right angles to each other. The currents flowing in them are \(21\) and \(41\) respectively. The resultant magnetic field induction at the centre is found to be \(N\) times \(\frac{{{\mu _0}I}}{R}\). Find the value of \(N\) is (Take \(\sqrt{5}=2.24\) )

1 1.15
2 3.58
3 5.27
4 2.24
PHXII04:MOVING CHARGES AND MAGNETISM

362567 Two concentric circular loops of radii \(r_{1}\) and \(r_{2}\) carry clockwise and anticlockwise currents \(i_{1}\) and \(\mathrm{i}_{2}\). If the centre is a null point, \({i_1}/{i_2}\) must be equal to

1 \(r_{2} / r_{1}\)
2 \(r_{2}{ }^{2} / r_{1}{ }^{2}\)
3 \(r_{1}^{2} / r_{2}^{2}\)
4 \(r_{1} / r_{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362568 A circular coil carrying a certain current produces a magnetic field \(B_{0}\) at its centre. The coil is now rewound so as to have 4 turns and the same current is passed through it. The new magnetic field at the centre is:

1 \(\dfrac{B_{0}}{16}\)
2 \(16 B_{0}\)
3 \(\dfrac{B_{0}}{4}\)
4 \(4 B_{0}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362569 A coil having 9 turns carrying a current produces magnetic filed \({B_{1}}\) at the centre. Now the coil is rewounded into 3 turns carrying same current. Then the magnetic field at the centre \({B_{2}=}\)

1 \({\dfrac{B_{1}}{9}}\)
2 \({9 B_{1}}\)
3 \({3 B_{1}}\)
4 \({\dfrac{B_{1}}{3}}\)