Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362544 A current \(I\) is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre of the loop is times \(\frac{{{\mu _0}{\text{I}}}}{{\text{R}}}\) times \((MA = R,MB = 2R,\angle DMA = 90^\circ )\)
supporting img

1 \(5 / 16\), but out of the plane of the paper.
2 \(5 / 16\), but into the plane of the paper
3 \(7 / 16\), but out of the plane of the paper
4 \(7 / 16\), but into the plane of the peper
PHXII04:MOVING CHARGES AND MAGNETISM

362545 A certain length of insulated wire can be bent to form either a single circular loop (case I) or a double loop of smaller radius (case II). When the same steady current is passed through the wire, the ratio of the magnetic field at the centre in the case I to that in case II is:

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

362546 The magnetic field due to a current carrying circular loop of radius 3\(cm\) at a point on the axis at a distance of 4\(cm\) from the centre is \(54\mu T\). What will be its value at the centre of the loop?

1 \(200 \mu T\)
2 \(250 \mu T\)
3 \(125 \mu T\)
4 \(75 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362547 A wire of length ' \(L\) ' is bent into an arc of a circle and found to subtend an angle of ' \(\theta\) ' radians at the center. If a current of \('I'\) is passed through it, the magnetic induction at the center of the circle is

1 \(\dfrac{\mu_{0} i \theta}{2 \pi L}\)
2 \(\dfrac{\mu_{0} i \theta^{2}}{4 \pi L}\)
3 \(\dfrac{\mu_{0} i \theta^{2}}{2 \pi L}\)
4 \(\dfrac{\mu_{0} i \theta}{4 \pi L}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362548 Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field \(B_{1}\) at its centre when a current (\(I\)) passes through it. The second wire is bent into a coil with three identical loops adjacent to each other and produces magnetic field \({B_2}\) at the centre of the loops when current \(\frac{I}{3}\) passes through it. The ratio \({B_1}:{B_2}\):-

1 \(1: 9\)
2 \(1: 3\)
3 \(9: 1\)
4 \(1: 1\)
PHXII04:MOVING CHARGES AND MAGNETISM

362544 A current \(I\) is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre of the loop is times \(\frac{{{\mu _0}{\text{I}}}}{{\text{R}}}\) times \((MA = R,MB = 2R,\angle DMA = 90^\circ )\)
supporting img

1 \(5 / 16\), but out of the plane of the paper.
2 \(5 / 16\), but into the plane of the paper
3 \(7 / 16\), but out of the plane of the paper
4 \(7 / 16\), but into the plane of the peper
PHXII04:MOVING CHARGES AND MAGNETISM

362545 A certain length of insulated wire can be bent to form either a single circular loop (case I) or a double loop of smaller radius (case II). When the same steady current is passed through the wire, the ratio of the magnetic field at the centre in the case I to that in case II is:

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

362546 The magnetic field due to a current carrying circular loop of radius 3\(cm\) at a point on the axis at a distance of 4\(cm\) from the centre is \(54\mu T\). What will be its value at the centre of the loop?

1 \(200 \mu T\)
2 \(250 \mu T\)
3 \(125 \mu T\)
4 \(75 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362547 A wire of length ' \(L\) ' is bent into an arc of a circle and found to subtend an angle of ' \(\theta\) ' radians at the center. If a current of \('I'\) is passed through it, the magnetic induction at the center of the circle is

1 \(\dfrac{\mu_{0} i \theta}{2 \pi L}\)
2 \(\dfrac{\mu_{0} i \theta^{2}}{4 \pi L}\)
3 \(\dfrac{\mu_{0} i \theta^{2}}{2 \pi L}\)
4 \(\dfrac{\mu_{0} i \theta}{4 \pi L}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362548 Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field \(B_{1}\) at its centre when a current (\(I\)) passes through it. The second wire is bent into a coil with three identical loops adjacent to each other and produces magnetic field \({B_2}\) at the centre of the loops when current \(\frac{I}{3}\) passes through it. The ratio \({B_1}:{B_2}\):-

1 \(1: 9\)
2 \(1: 3\)
3 \(9: 1\)
4 \(1: 1\)
PHXII04:MOVING CHARGES AND MAGNETISM

362544 A current \(I\) is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre of the loop is times \(\frac{{{\mu _0}{\text{I}}}}{{\text{R}}}\) times \((MA = R,MB = 2R,\angle DMA = 90^\circ )\)
supporting img

1 \(5 / 16\), but out of the plane of the paper.
2 \(5 / 16\), but into the plane of the paper
3 \(7 / 16\), but out of the plane of the paper
4 \(7 / 16\), but into the plane of the peper
PHXII04:MOVING CHARGES AND MAGNETISM

362545 A certain length of insulated wire can be bent to form either a single circular loop (case I) or a double loop of smaller radius (case II). When the same steady current is passed through the wire, the ratio of the magnetic field at the centre in the case I to that in case II is:

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

362546 The magnetic field due to a current carrying circular loop of radius 3\(cm\) at a point on the axis at a distance of 4\(cm\) from the centre is \(54\mu T\). What will be its value at the centre of the loop?

1 \(200 \mu T\)
2 \(250 \mu T\)
3 \(125 \mu T\)
4 \(75 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362547 A wire of length ' \(L\) ' is bent into an arc of a circle and found to subtend an angle of ' \(\theta\) ' radians at the center. If a current of \('I'\) is passed through it, the magnetic induction at the center of the circle is

1 \(\dfrac{\mu_{0} i \theta}{2 \pi L}\)
2 \(\dfrac{\mu_{0} i \theta^{2}}{4 \pi L}\)
3 \(\dfrac{\mu_{0} i \theta^{2}}{2 \pi L}\)
4 \(\dfrac{\mu_{0} i \theta}{4 \pi L}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362548 Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field \(B_{1}\) at its centre when a current (\(I\)) passes through it. The second wire is bent into a coil with three identical loops adjacent to each other and produces magnetic field \({B_2}\) at the centre of the loops when current \(\frac{I}{3}\) passes through it. The ratio \({B_1}:{B_2}\):-

1 \(1: 9\)
2 \(1: 3\)
3 \(9: 1\)
4 \(1: 1\)
PHXII04:MOVING CHARGES AND MAGNETISM

362544 A current \(I\) is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre of the loop is times \(\frac{{{\mu _0}{\text{I}}}}{{\text{R}}}\) times \((MA = R,MB = 2R,\angle DMA = 90^\circ )\)
supporting img

1 \(5 / 16\), but out of the plane of the paper.
2 \(5 / 16\), but into the plane of the paper
3 \(7 / 16\), but out of the plane of the paper
4 \(7 / 16\), but into the plane of the peper
PHXII04:MOVING CHARGES AND MAGNETISM

362545 A certain length of insulated wire can be bent to form either a single circular loop (case I) or a double loop of smaller radius (case II). When the same steady current is passed through the wire, the ratio of the magnetic field at the centre in the case I to that in case II is:

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

362546 The magnetic field due to a current carrying circular loop of radius 3\(cm\) at a point on the axis at a distance of 4\(cm\) from the centre is \(54\mu T\). What will be its value at the centre of the loop?

1 \(200 \mu T\)
2 \(250 \mu T\)
3 \(125 \mu T\)
4 \(75 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362547 A wire of length ' \(L\) ' is bent into an arc of a circle and found to subtend an angle of ' \(\theta\) ' radians at the center. If a current of \('I'\) is passed through it, the magnetic induction at the center of the circle is

1 \(\dfrac{\mu_{0} i \theta}{2 \pi L}\)
2 \(\dfrac{\mu_{0} i \theta^{2}}{4 \pi L}\)
3 \(\dfrac{\mu_{0} i \theta^{2}}{2 \pi L}\)
4 \(\dfrac{\mu_{0} i \theta}{4 \pi L}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362548 Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field \(B_{1}\) at its centre when a current (\(I\)) passes through it. The second wire is bent into a coil with three identical loops adjacent to each other and produces magnetic field \({B_2}\) at the centre of the loops when current \(\frac{I}{3}\) passes through it. The ratio \({B_1}:{B_2}\):-

1 \(1: 9\)
2 \(1: 3\)
3 \(9: 1\)
4 \(1: 1\)
PHXII04:MOVING CHARGES AND MAGNETISM

362544 A current \(I\) is flowing through the loop. The direction of the current and the shape of the loop are as shown in the figure. The magnetic field at the centre of the loop is times \(\frac{{{\mu _0}{\text{I}}}}{{\text{R}}}\) times \((MA = R,MB = 2R,\angle DMA = 90^\circ )\)
supporting img

1 \(5 / 16\), but out of the plane of the paper.
2 \(5 / 16\), but into the plane of the paper
3 \(7 / 16\), but out of the plane of the paper
4 \(7 / 16\), but into the plane of the peper
PHXII04:MOVING CHARGES AND MAGNETISM

362545 A certain length of insulated wire can be bent to form either a single circular loop (case I) or a double loop of smaller radius (case II). When the same steady current is passed through the wire, the ratio of the magnetic field at the centre in the case I to that in case II is:

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

362546 The magnetic field due to a current carrying circular loop of radius 3\(cm\) at a point on the axis at a distance of 4\(cm\) from the centre is \(54\mu T\). What will be its value at the centre of the loop?

1 \(200 \mu T\)
2 \(250 \mu T\)
3 \(125 \mu T\)
4 \(75 \mu T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362547 A wire of length ' \(L\) ' is bent into an arc of a circle and found to subtend an angle of ' \(\theta\) ' radians at the center. If a current of \('I'\) is passed through it, the magnetic induction at the center of the circle is

1 \(\dfrac{\mu_{0} i \theta}{2 \pi L}\)
2 \(\dfrac{\mu_{0} i \theta^{2}}{4 \pi L}\)
3 \(\dfrac{\mu_{0} i \theta^{2}}{2 \pi L}\)
4 \(\dfrac{\mu_{0} i \theta}{4 \pi L}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362548 Consider two thin identical conducting wires covered with very thin insulating material. One of the wires is bent into a loop and produces magnetic field \(B_{1}\) at its centre when a current (\(I\)) passes through it. The second wire is bent into a coil with three identical loops adjacent to each other and produces magnetic field \({B_2}\) at the centre of the loops when current \(\frac{I}{3}\) passes through it. The ratio \({B_1}:{B_2}\):-

1 \(1: 9\)
2 \(1: 3\)
3 \(9: 1\)
4 \(1: 1\)