Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362561 The magnetic field strength at \(O\) due to current \(I\) in the figure is
supporting img

1 \(\dfrac{7 \mu_{0} I}{16 R}\)
2 \(\dfrac{13 \mu_{0} I}{32 R}\)
3 \(\dfrac{15 \mu_{0} I}{16 R}\)
4 \(\dfrac{11 \mu_{0} I}{32 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362562 A coil having \(n\) turns is wound tightly in the form of a spiral with inner and outer radii \(a\) and b respectively. When a current \(I\) passes through the coil, the magnetic field at the centre is

1 \(\frac{{{\mu _0}I}}{{2(b - a)}}\ln \frac{b}{a}\)
2 \(\frac{{{\mu _0}NI}}{b}\)
3 \(\frac{{{\mu _0}NI}}{{2(b - a)}}\ln \frac{b}{a}\)
4 \(\frac{{2{\mu _0}NI}}{a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362563 A circular coil has one turn and carries a current \('i'\). The same wire is wound into a smaller coil of 4 turns and the same current is passed through it. Field at the center

1 Decreases to \(1 / 4\) of the value
2 Is the same
3 Increases to 14 times the values
4 Increases to 16 times the values
PHXII04:MOVING CHARGES AND MAGNETISM

362564 A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10\(A\). The magnetic field at point \(O\) will be close to
supporting img

1 \(1.0 \times {10^{ - 5}}\;T\)
2 \(1.5 \times {10^{ - 5}}\;T\)
3 \(1.0 \times {10^{ - 7}}\;T\)
4 \(1.5 \times {10^{ - 7}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362565 Two concentric circular loops of radii \(R\) and \(2 R\) carry currents of \(2 i\) and \(i\) respectively, in opposite sense (\(i.\,e.,\) clockwise in one coil and counter clockwise in the other coil). The resultant magnetic field at their common centre is

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

362561 The magnetic field strength at \(O\) due to current \(I\) in the figure is
supporting img

1 \(\dfrac{7 \mu_{0} I}{16 R}\)
2 \(\dfrac{13 \mu_{0} I}{32 R}\)
3 \(\dfrac{15 \mu_{0} I}{16 R}\)
4 \(\dfrac{11 \mu_{0} I}{32 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362562 A coil having \(n\) turns is wound tightly in the form of a spiral with inner and outer radii \(a\) and b respectively. When a current \(I\) passes through the coil, the magnetic field at the centre is

1 \(\frac{{{\mu _0}I}}{{2(b - a)}}\ln \frac{b}{a}\)
2 \(\frac{{{\mu _0}NI}}{b}\)
3 \(\frac{{{\mu _0}NI}}{{2(b - a)}}\ln \frac{b}{a}\)
4 \(\frac{{2{\mu _0}NI}}{a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362563 A circular coil has one turn and carries a current \('i'\). The same wire is wound into a smaller coil of 4 turns and the same current is passed through it. Field at the center

1 Decreases to \(1 / 4\) of the value
2 Is the same
3 Increases to 14 times the values
4 Increases to 16 times the values
PHXII04:MOVING CHARGES AND MAGNETISM

362564 A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10\(A\). The magnetic field at point \(O\) will be close to
supporting img

1 \(1.0 \times {10^{ - 5}}\;T\)
2 \(1.5 \times {10^{ - 5}}\;T\)
3 \(1.0 \times {10^{ - 7}}\;T\)
4 \(1.5 \times {10^{ - 7}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362565 Two concentric circular loops of radii \(R\) and \(2 R\) carry currents of \(2 i\) and \(i\) respectively, in opposite sense (\(i.\,e.,\) clockwise in one coil and counter clockwise in the other coil). The resultant magnetic field at their common centre is

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

362561 The magnetic field strength at \(O\) due to current \(I\) in the figure is
supporting img

1 \(\dfrac{7 \mu_{0} I}{16 R}\)
2 \(\dfrac{13 \mu_{0} I}{32 R}\)
3 \(\dfrac{15 \mu_{0} I}{16 R}\)
4 \(\dfrac{11 \mu_{0} I}{32 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362562 A coil having \(n\) turns is wound tightly in the form of a spiral with inner and outer radii \(a\) and b respectively. When a current \(I\) passes through the coil, the magnetic field at the centre is

1 \(\frac{{{\mu _0}I}}{{2(b - a)}}\ln \frac{b}{a}\)
2 \(\frac{{{\mu _0}NI}}{b}\)
3 \(\frac{{{\mu _0}NI}}{{2(b - a)}}\ln \frac{b}{a}\)
4 \(\frac{{2{\mu _0}NI}}{a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362563 A circular coil has one turn and carries a current \('i'\). The same wire is wound into a smaller coil of 4 turns and the same current is passed through it. Field at the center

1 Decreases to \(1 / 4\) of the value
2 Is the same
3 Increases to 14 times the values
4 Increases to 16 times the values
PHXII04:MOVING CHARGES AND MAGNETISM

362564 A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10\(A\). The magnetic field at point \(O\) will be close to
supporting img

1 \(1.0 \times {10^{ - 5}}\;T\)
2 \(1.5 \times {10^{ - 5}}\;T\)
3 \(1.0 \times {10^{ - 7}}\;T\)
4 \(1.5 \times {10^{ - 7}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362565 Two concentric circular loops of radii \(R\) and \(2 R\) carry currents of \(2 i\) and \(i\) respectively, in opposite sense (\(i.\,e.,\) clockwise in one coil and counter clockwise in the other coil). The resultant magnetic field at their common centre is

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

362561 The magnetic field strength at \(O\) due to current \(I\) in the figure is
supporting img

1 \(\dfrac{7 \mu_{0} I}{16 R}\)
2 \(\dfrac{13 \mu_{0} I}{32 R}\)
3 \(\dfrac{15 \mu_{0} I}{16 R}\)
4 \(\dfrac{11 \mu_{0} I}{32 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362562 A coil having \(n\) turns is wound tightly in the form of a spiral with inner and outer radii \(a\) and b respectively. When a current \(I\) passes through the coil, the magnetic field at the centre is

1 \(\frac{{{\mu _0}I}}{{2(b - a)}}\ln \frac{b}{a}\)
2 \(\frac{{{\mu _0}NI}}{b}\)
3 \(\frac{{{\mu _0}NI}}{{2(b - a)}}\ln \frac{b}{a}\)
4 \(\frac{{2{\mu _0}NI}}{a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362563 A circular coil has one turn and carries a current \('i'\). The same wire is wound into a smaller coil of 4 turns and the same current is passed through it. Field at the center

1 Decreases to \(1 / 4\) of the value
2 Is the same
3 Increases to 14 times the values
4 Increases to 16 times the values
PHXII04:MOVING CHARGES AND MAGNETISM

362564 A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10\(A\). The magnetic field at point \(O\) will be close to
supporting img

1 \(1.0 \times {10^{ - 5}}\;T\)
2 \(1.5 \times {10^{ - 5}}\;T\)
3 \(1.0 \times {10^{ - 7}}\;T\)
4 \(1.5 \times {10^{ - 7}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362565 Two concentric circular loops of radii \(R\) and \(2 R\) carry currents of \(2 i\) and \(i\) respectively, in opposite sense (\(i.\,e.,\) clockwise in one coil and counter clockwise in the other coil). The resultant magnetic field at their common centre is

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

362561 The magnetic field strength at \(O\) due to current \(I\) in the figure is
supporting img

1 \(\dfrac{7 \mu_{0} I}{16 R}\)
2 \(\dfrac{13 \mu_{0} I}{32 R}\)
3 \(\dfrac{15 \mu_{0} I}{16 R}\)
4 \(\dfrac{11 \mu_{0} I}{32 R}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362562 A coil having \(n\) turns is wound tightly in the form of a spiral with inner and outer radii \(a\) and b respectively. When a current \(I\) passes through the coil, the magnetic field at the centre is

1 \(\frac{{{\mu _0}I}}{{2(b - a)}}\ln \frac{b}{a}\)
2 \(\frac{{{\mu _0}NI}}{b}\)
3 \(\frac{{{\mu _0}NI}}{{2(b - a)}}\ln \frac{b}{a}\)
4 \(\frac{{2{\mu _0}NI}}{a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362563 A circular coil has one turn and carries a current \('i'\). The same wire is wound into a smaller coil of 4 turns and the same current is passed through it. Field at the center

1 Decreases to \(1 / 4\) of the value
2 Is the same
3 Increases to 14 times the values
4 Increases to 16 times the values
PHXII04:MOVING CHARGES AND MAGNETISM

362564 A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10\(A\). The magnetic field at point \(O\) will be close to
supporting img

1 \(1.0 \times {10^{ - 5}}\;T\)
2 \(1.5 \times {10^{ - 5}}\;T\)
3 \(1.0 \times {10^{ - 7}}\;T\)
4 \(1.5 \times {10^{ - 7}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362565 Two concentric circular loops of radii \(R\) and \(2 R\) carry currents of \(2 i\) and \(i\) respectively, in opposite sense (\(i.\,e.,\) clockwise in one coil and counter clockwise in the other coil). The resultant magnetic field at their common centre is

1 \(\mu_{0} \dfrac{i}{4 R}\)
2 \(\mu_{0} \dfrac{5 i}{4 R}\)
3 \(\mu_{0} \dfrac{3 i}{4 R}\)
4 \(\mu_{0} \dfrac{i}{2 R}\)