Biot-Savart Law
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PHXII04:MOVING CHARGES AND MAGNETISM

362570 An arc of a circle of radius \(R\) subtends an angle \(\pi / 2\) at the centre. It carries a current \(i\). The magnetic field at the centre will be

1 \(\dfrac{\mu_{0} i}{4 R}\)
2 \(\dfrac{\mu_{0} i}{8 R}\)
3 \(\dfrac{\mu_{0} i}{2 R}\)
4 \(\dfrac{2 \mu_{0} i}{5 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362571 Magnetic field at the centre of a circular loop of area \(A\) is \(B\). The magnetic moment of the loop will be

1 \(\dfrac{B A^{2}}{\mu_{0} \pi}\)
2 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi}\)
3 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
4 \(\dfrac{2 B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362572 \(A\) and \(B\) are the two concentric circular conductors of center \(O\) and carrying currents \(I_{1}\) and \(I_{2}\) as shown in the adjacent figure. If ratio of their radii is \(1: 2\) and ratio of the flux densities at \(O\) due to \(A\) and \(B\) is \(1: 3\) then the value of \(I_{1} /\) \(I_{2}\) is
supporting img

1 \(1 / 6\)
2 \(1 / 4\)
3 \(1 / 3\)
4 \(1 / 2\)
PHXII04:MOVING CHARGES AND MAGNETISM

362573 If a current \(I\) is flowing in a loop of radius \(r\) as shown in figure, then the magnetic field induction at the centre \(O\) will be
supporting img

1 zero
2 \(\dfrac{\mu_{0} I \theta}{4 \pi r}\)
3 \(\dfrac{\mu_{0} I \sin \theta}{4 \pi r}\)
4 \(\dfrac{2 \mu_{0} I \sin \theta}{4 \pi r^{2}}\)
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PHXII04:MOVING CHARGES AND MAGNETISM

362570 An arc of a circle of radius \(R\) subtends an angle \(\pi / 2\) at the centre. It carries a current \(i\). The magnetic field at the centre will be

1 \(\dfrac{\mu_{0} i}{4 R}\)
2 \(\dfrac{\mu_{0} i}{8 R}\)
3 \(\dfrac{\mu_{0} i}{2 R}\)
4 \(\dfrac{2 \mu_{0} i}{5 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362571 Magnetic field at the centre of a circular loop of area \(A\) is \(B\). The magnetic moment of the loop will be

1 \(\dfrac{B A^{2}}{\mu_{0} \pi}\)
2 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi}\)
3 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
4 \(\dfrac{2 B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362572 \(A\) and \(B\) are the two concentric circular conductors of center \(O\) and carrying currents \(I_{1}\) and \(I_{2}\) as shown in the adjacent figure. If ratio of their radii is \(1: 2\) and ratio of the flux densities at \(O\) due to \(A\) and \(B\) is \(1: 3\) then the value of \(I_{1} /\) \(I_{2}\) is
supporting img

1 \(1 / 6\)
2 \(1 / 4\)
3 \(1 / 3\)
4 \(1 / 2\)
PHXII04:MOVING CHARGES AND MAGNETISM

362573 If a current \(I\) is flowing in a loop of radius \(r\) as shown in figure, then the magnetic field induction at the centre \(O\) will be
supporting img

1 zero
2 \(\dfrac{\mu_{0} I \theta}{4 \pi r}\)
3 \(\dfrac{\mu_{0} I \sin \theta}{4 \pi r}\)
4 \(\dfrac{2 \mu_{0} I \sin \theta}{4 \pi r^{2}}\)
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PHXII04:MOVING CHARGES AND MAGNETISM

362570 An arc of a circle of radius \(R\) subtends an angle \(\pi / 2\) at the centre. It carries a current \(i\). The magnetic field at the centre will be

1 \(\dfrac{\mu_{0} i}{4 R}\)
2 \(\dfrac{\mu_{0} i}{8 R}\)
3 \(\dfrac{\mu_{0} i}{2 R}\)
4 \(\dfrac{2 \mu_{0} i}{5 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362571 Magnetic field at the centre of a circular loop of area \(A\) is \(B\). The magnetic moment of the loop will be

1 \(\dfrac{B A^{2}}{\mu_{0} \pi}\)
2 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi}\)
3 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
4 \(\dfrac{2 B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362572 \(A\) and \(B\) are the two concentric circular conductors of center \(O\) and carrying currents \(I_{1}\) and \(I_{2}\) as shown in the adjacent figure. If ratio of their radii is \(1: 2\) and ratio of the flux densities at \(O\) due to \(A\) and \(B\) is \(1: 3\) then the value of \(I_{1} /\) \(I_{2}\) is
supporting img

1 \(1 / 6\)
2 \(1 / 4\)
3 \(1 / 3\)
4 \(1 / 2\)
PHXII04:MOVING CHARGES AND MAGNETISM

362573 If a current \(I\) is flowing in a loop of radius \(r\) as shown in figure, then the magnetic field induction at the centre \(O\) will be
supporting img

1 zero
2 \(\dfrac{\mu_{0} I \theta}{4 \pi r}\)
3 \(\dfrac{\mu_{0} I \sin \theta}{4 \pi r}\)
4 \(\dfrac{2 \mu_{0} I \sin \theta}{4 \pi r^{2}}\)
For More Updates join with Us
PHXII04:MOVING CHARGES AND MAGNETISM

362570 An arc of a circle of radius \(R\) subtends an angle \(\pi / 2\) at the centre. It carries a current \(i\). The magnetic field at the centre will be

1 \(\dfrac{\mu_{0} i}{4 R}\)
2 \(\dfrac{\mu_{0} i}{8 R}\)
3 \(\dfrac{\mu_{0} i}{2 R}\)
4 \(\dfrac{2 \mu_{0} i}{5 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362571 Magnetic field at the centre of a circular loop of area \(A\) is \(B\). The magnetic moment of the loop will be

1 \(\dfrac{B A^{2}}{\mu_{0} \pi}\)
2 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi}\)
3 \(\dfrac{B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
4 \(\dfrac{2 B A^{3 / 2}}{\mu_{0} \pi^{1 / 2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362572 \(A\) and \(B\) are the two concentric circular conductors of center \(O\) and carrying currents \(I_{1}\) and \(I_{2}\) as shown in the adjacent figure. If ratio of their radii is \(1: 2\) and ratio of the flux densities at \(O\) due to \(A\) and \(B\) is \(1: 3\) then the value of \(I_{1} /\) \(I_{2}\) is
supporting img

1 \(1 / 6\)
2 \(1 / 4\)
3 \(1 / 3\)
4 \(1 / 2\)
PHXII04:MOVING CHARGES AND MAGNETISM

362573 If a current \(I\) is flowing in a loop of radius \(r\) as shown in figure, then the magnetic field induction at the centre \(O\) will be
supporting img

1 zero
2 \(\dfrac{\mu_{0} I \theta}{4 \pi r}\)
3 \(\dfrac{\mu_{0} I \sin \theta}{4 \pi r}\)
4 \(\dfrac{2 \mu_{0} I \sin \theta}{4 \pi r^{2}}\)
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