Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362536 Figure shows a coil of radius \(2\;cm\) concentricwith a coil of radius \(4\;cm\). Each coil has 1000 turns with a current of \(5\,amp\). In larger coil, then the current needed in the smaller coil to give the total magnetic field at the centre equal to \(2\;mT\) is
supporting img

1 \(2.56\;A\)
2 \(1.84\;A\)
3 \(2.88\;A\)
4 \(3.4\;A\)
PHXII04:MOVING CHARGES AND MAGNETISM

362537 Magnetic field at the centre of a circular coil of radius \(R\) due to current I flowing through it is \(B\). The magnetic field at a point along the axis at distance \(R\) from the centre is

1 \(\dfrac{B}{4}\)
2 \(\sqrt{8} B\)
3 \(\dfrac{B}{\sqrt{8}}\)
4 \(\dfrac{B}{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362538 A wire of finite length carries a steady current. It is first bent to form a circular coil of one turn. The same length is now bent more sharply to give a loop of two turns of smaller radius. The magnetic field at the centre caused by the same current now will be

1 A quarter of its first value
2 Same as that of the first value
3 Four times the first value
4 Double of its first value
PHXII04:MOVING CHARGES AND MAGNETISM

362539 Two insulated circular loops \(A\) and \(B\) of radius '\(a\)' carrying a current of \(\,\,\,\,\)'\(I\)' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be
supporting img

1 \(\dfrac{\mu_{0} I}{2 a}\)
2 \(\dfrac{2 \mu_{0} I}{a}\)
3 \(\dfrac{\sqrt{2} \mu_{0} I}{a}\)
4 \(\dfrac{\mu_{0} I}{\sqrt{2} a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362536 Figure shows a coil of radius \(2\;cm\) concentricwith a coil of radius \(4\;cm\). Each coil has 1000 turns with a current of \(5\,amp\). In larger coil, then the current needed in the smaller coil to give the total magnetic field at the centre equal to \(2\;mT\) is
supporting img

1 \(2.56\;A\)
2 \(1.84\;A\)
3 \(2.88\;A\)
4 \(3.4\;A\)
PHXII04:MOVING CHARGES AND MAGNETISM

362537 Magnetic field at the centre of a circular coil of radius \(R\) due to current I flowing through it is \(B\). The magnetic field at a point along the axis at distance \(R\) from the centre is

1 \(\dfrac{B}{4}\)
2 \(\sqrt{8} B\)
3 \(\dfrac{B}{\sqrt{8}}\)
4 \(\dfrac{B}{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362538 A wire of finite length carries a steady current. It is first bent to form a circular coil of one turn. The same length is now bent more sharply to give a loop of two turns of smaller radius. The magnetic field at the centre caused by the same current now will be

1 A quarter of its first value
2 Same as that of the first value
3 Four times the first value
4 Double of its first value
PHXII04:MOVING CHARGES AND MAGNETISM

362539 Two insulated circular loops \(A\) and \(B\) of radius '\(a\)' carrying a current of \(\,\,\,\,\)'\(I\)' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be
supporting img

1 \(\dfrac{\mu_{0} I}{2 a}\)
2 \(\dfrac{2 \mu_{0} I}{a}\)
3 \(\dfrac{\sqrt{2} \mu_{0} I}{a}\)
4 \(\dfrac{\mu_{0} I}{\sqrt{2} a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362536 Figure shows a coil of radius \(2\;cm\) concentricwith a coil of radius \(4\;cm\). Each coil has 1000 turns with a current of \(5\,amp\). In larger coil, then the current needed in the smaller coil to give the total magnetic field at the centre equal to \(2\;mT\) is
supporting img

1 \(2.56\;A\)
2 \(1.84\;A\)
3 \(2.88\;A\)
4 \(3.4\;A\)
PHXII04:MOVING CHARGES AND MAGNETISM

362537 Magnetic field at the centre of a circular coil of radius \(R\) due to current I flowing through it is \(B\). The magnetic field at a point along the axis at distance \(R\) from the centre is

1 \(\dfrac{B}{4}\)
2 \(\sqrt{8} B\)
3 \(\dfrac{B}{\sqrt{8}}\)
4 \(\dfrac{B}{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362538 A wire of finite length carries a steady current. It is first bent to form a circular coil of one turn. The same length is now bent more sharply to give a loop of two turns of smaller radius. The magnetic field at the centre caused by the same current now will be

1 A quarter of its first value
2 Same as that of the first value
3 Four times the first value
4 Double of its first value
PHXII04:MOVING CHARGES AND MAGNETISM

362539 Two insulated circular loops \(A\) and \(B\) of radius '\(a\)' carrying a current of \(\,\,\,\,\)'\(I\)' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be
supporting img

1 \(\dfrac{\mu_{0} I}{2 a}\)
2 \(\dfrac{2 \mu_{0} I}{a}\)
3 \(\dfrac{\sqrt{2} \mu_{0} I}{a}\)
4 \(\dfrac{\mu_{0} I}{\sqrt{2} a}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362536 Figure shows a coil of radius \(2\;cm\) concentricwith a coil of radius \(4\;cm\). Each coil has 1000 turns with a current of \(5\,amp\). In larger coil, then the current needed in the smaller coil to give the total magnetic field at the centre equal to \(2\;mT\) is
supporting img

1 \(2.56\;A\)
2 \(1.84\;A\)
3 \(2.88\;A\)
4 \(3.4\;A\)
PHXII04:MOVING CHARGES AND MAGNETISM

362537 Magnetic field at the centre of a circular coil of radius \(R\) due to current I flowing through it is \(B\). The magnetic field at a point along the axis at distance \(R\) from the centre is

1 \(\dfrac{B}{4}\)
2 \(\sqrt{8} B\)
3 \(\dfrac{B}{\sqrt{8}}\)
4 \(\dfrac{B}{2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362538 A wire of finite length carries a steady current. It is first bent to form a circular coil of one turn. The same length is now bent more sharply to give a loop of two turns of smaller radius. The magnetic field at the centre caused by the same current now will be

1 A quarter of its first value
2 Same as that of the first value
3 Four times the first value
4 Double of its first value
PHXII04:MOVING CHARGES AND MAGNETISM

362539 Two insulated circular loops \(A\) and \(B\) of radius '\(a\)' carrying a current of \(\,\,\,\,\)'\(I\)' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be
supporting img

1 \(\dfrac{\mu_{0} I}{2 a}\)
2 \(\dfrac{2 \mu_{0} I}{a}\)
3 \(\dfrac{\sqrt{2} \mu_{0} I}{a}\)
4 \(\dfrac{\mu_{0} I}{\sqrt{2} a}\)