Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362553 The magnetic induction at the centre \(O\) in the figure shown is
supporting img

1 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}-\dfrac{1}{R_{2}}\right)\)
2 \(\dfrac{\mu_{0} i}{4}\left(R_{1}-R_{2}\right)\)
3 \(\dfrac{\mu_{0} i}{4}\left(R_{1}+R_{2}\right)\)
4 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}+\dfrac{1}{R_{2}}\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362554 A circular coil of wire of 100 turns each of radius 9\(cm\) carries a current of 0.4\(A\). The magnitude of the magnetic field at the centre of coil is \(\left[\mu_{0}=12.56 \times 10^{-7}\right.\) Slunit \(]\)

1 \(2.4 \times {10^{ - 11}}\;T\)
2 \(2.79 \times {10^{ - 5}}\;T\)
3 \(2.79 \times {10^{ - 4}}\;T\)
4 \(2.79 \times {10^{ - 3}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362555 A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is \(B\). It is then bent into a circular coil of \(n\) turns. The magnetic field at the centre of this coil of \(n\) turns will be

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

362556 Two concentric circular coils \(A\) and \(B\) have radii \(25\;cm\) and \(15\;cm\) and carry currents \(10\;A\) and \(15\;A\) respectively. \(A\) has 24 turns and \(B\) has 18 turns. The direction of currents are in oppositeorder. The magnetic induction at the common centre of the coil is

1 \(1.2\,{\mu _0}\,Telsa\)
2 \(4.8\,{\mu _0}\,Telsa\)
3 \(4.2\,{\mu _0}\,Telsa\)
4 \({\mu _0}\,Telsa\)
PHXII04:MOVING CHARGES AND MAGNETISM

362553 The magnetic induction at the centre \(O\) in the figure shown is
supporting img

1 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}-\dfrac{1}{R_{2}}\right)\)
2 \(\dfrac{\mu_{0} i}{4}\left(R_{1}-R_{2}\right)\)
3 \(\dfrac{\mu_{0} i}{4}\left(R_{1}+R_{2}\right)\)
4 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}+\dfrac{1}{R_{2}}\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362554 A circular coil of wire of 100 turns each of radius 9\(cm\) carries a current of 0.4\(A\). The magnitude of the magnetic field at the centre of coil is \(\left[\mu_{0}=12.56 \times 10^{-7}\right.\) Slunit \(]\)

1 \(2.4 \times {10^{ - 11}}\;T\)
2 \(2.79 \times {10^{ - 5}}\;T\)
3 \(2.79 \times {10^{ - 4}}\;T\)
4 \(2.79 \times {10^{ - 3}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362555 A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is \(B\). It is then bent into a circular coil of \(n\) turns. The magnetic field at the centre of this coil of \(n\) turns will be

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

362556 Two concentric circular coils \(A\) and \(B\) have radii \(25\;cm\) and \(15\;cm\) and carry currents \(10\;A\) and \(15\;A\) respectively. \(A\) has 24 turns and \(B\) has 18 turns. The direction of currents are in oppositeorder. The magnetic induction at the common centre of the coil is

1 \(1.2\,{\mu _0}\,Telsa\)
2 \(4.8\,{\mu _0}\,Telsa\)
3 \(4.2\,{\mu _0}\,Telsa\)
4 \({\mu _0}\,Telsa\)
PHXII04:MOVING CHARGES AND MAGNETISM

362553 The magnetic induction at the centre \(O\) in the figure shown is
supporting img

1 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}-\dfrac{1}{R_{2}}\right)\)
2 \(\dfrac{\mu_{0} i}{4}\left(R_{1}-R_{2}\right)\)
3 \(\dfrac{\mu_{0} i}{4}\left(R_{1}+R_{2}\right)\)
4 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}+\dfrac{1}{R_{2}}\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362554 A circular coil of wire of 100 turns each of radius 9\(cm\) carries a current of 0.4\(A\). The magnitude of the magnetic field at the centre of coil is \(\left[\mu_{0}=12.56 \times 10^{-7}\right.\) Slunit \(]\)

1 \(2.4 \times {10^{ - 11}}\;T\)
2 \(2.79 \times {10^{ - 5}}\;T\)
3 \(2.79 \times {10^{ - 4}}\;T\)
4 \(2.79 \times {10^{ - 3}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362555 A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is \(B\). It is then bent into a circular coil of \(n\) turns. The magnetic field at the centre of this coil of \(n\) turns will be

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

362556 Two concentric circular coils \(A\) and \(B\) have radii \(25\;cm\) and \(15\;cm\) and carry currents \(10\;A\) and \(15\;A\) respectively. \(A\) has 24 turns and \(B\) has 18 turns. The direction of currents are in oppositeorder. The magnetic induction at the common centre of the coil is

1 \(1.2\,{\mu _0}\,Telsa\)
2 \(4.8\,{\mu _0}\,Telsa\)
3 \(4.2\,{\mu _0}\,Telsa\)
4 \({\mu _0}\,Telsa\)
PHXII04:MOVING CHARGES AND MAGNETISM

362553 The magnetic induction at the centre \(O\) in the figure shown is
supporting img

1 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}-\dfrac{1}{R_{2}}\right)\)
2 \(\dfrac{\mu_{0} i}{4}\left(R_{1}-R_{2}\right)\)
3 \(\dfrac{\mu_{0} i}{4}\left(R_{1}+R_{2}\right)\)
4 \(\dfrac{\mu_{0} i}{4}\left(\dfrac{1}{R_{1}}+\dfrac{1}{R_{2}}\right)\)
PHXII04:MOVING CHARGES AND MAGNETISM

362554 A circular coil of wire of 100 turns each of radius 9\(cm\) carries a current of 0.4\(A\). The magnitude of the magnetic field at the centre of coil is \(\left[\mu_{0}=12.56 \times 10^{-7}\right.\) Slunit \(]\)

1 \(2.4 \times {10^{ - 11}}\;T\)
2 \(2.79 \times {10^{ - 5}}\;T\)
3 \(2.79 \times {10^{ - 4}}\;T\)
4 \(2.79 \times {10^{ - 3}}\;T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362555 A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is \(B\). It is then bent into a circular coil of \(n\) turns. The magnetic field at the centre of this coil of \(n\) turns will be

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

362556 Two concentric circular coils \(A\) and \(B\) have radii \(25\;cm\) and \(15\;cm\) and carry currents \(10\;A\) and \(15\;A\) respectively. \(A\) has 24 turns and \(B\) has 18 turns. The direction of currents are in oppositeorder. The magnetic induction at the common centre of the coil is

1 \(1.2\,{\mu _0}\,Telsa\)
2 \(4.8\,{\mu _0}\,Telsa\)
3 \(4.2\,{\mu _0}\,Telsa\)
4 \({\mu _0}\,Telsa\)