Biot-Savart Law
PHXII04:MOVING CHARGES AND MAGNETISM

362673 The magnitude of the magnetic induction at a point on the axis at a large distance (r) from the centre of a circular coil of ' \(n\) ' turns and area ' \(A\) ' carrying current (\(I\)) is given by

1 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{n A}{I r^{3}}\)
2 \(B_{\text {axis }}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I A}{r^{3}}\)
3 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I}{A r^{3}}\)
4 \({B_{axis{\text{ }}}} = \frac{{{\mu _0}}}{{4\pi }}\frac{{nIA}}{{{r^3}}}t\)
PHXII04:MOVING CHARGES AND MAGNETISM

362674 Two circular loops having same radius \((R = 10\;cm)\) and same current \(\frac{7}{2}\;A\) are placed along same axis as shown in the figure. If distance between their centres is \(10\;cm\), find the value of net magnetic field at point \(P\)
supporting img

1 \(\frac{{50{\mu _0}}}{{\sqrt 5 }}T\)
2 \(\frac{{28{\mu _0}}}{{\sqrt 5 }}{T_{}}\)
3 \(\frac{{7000{\mu _0}}}{{\sqrt 5 }}T\)
4 \(\frac{{56{\mu _0}}}{{\sqrt 5 }}T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362675 The magnetic field normal to the plane of a wire of \(n\) turns and radius \(r\) which carries a current \(i\) is measured on the axis of the coil at a small distance \(h\) from the centre of the coil. This is smaller than the magnetic field at the centre by the fraction

1 \(\dfrac{2 h^{2}}{3 r^{2}}\)
2 \(\dfrac{3 r^{2}}{2 h^{2}}\)
3 \(\dfrac{2 r^{2}}{3 h^{2}}\)
4 \(\dfrac{3 h^{2}}{2 r^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362676 A circular loop of radius \(r\) is carrying current 1\(A\). The ratio of magnetic field at the centre of circular loop and at a distance \(r\) from the centre of the loop on its axis is

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

362673 The magnitude of the magnetic induction at a point on the axis at a large distance (r) from the centre of a circular coil of ' \(n\) ' turns and area ' \(A\) ' carrying current (\(I\)) is given by

1 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{n A}{I r^{3}}\)
2 \(B_{\text {axis }}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I A}{r^{3}}\)
3 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I}{A r^{3}}\)
4 \({B_{axis{\text{ }}}} = \frac{{{\mu _0}}}{{4\pi }}\frac{{nIA}}{{{r^3}}}t\)
PHXII04:MOVING CHARGES AND MAGNETISM

362674 Two circular loops having same radius \((R = 10\;cm)\) and same current \(\frac{7}{2}\;A\) are placed along same axis as shown in the figure. If distance between their centres is \(10\;cm\), find the value of net magnetic field at point \(P\)
supporting img

1 \(\frac{{50{\mu _0}}}{{\sqrt 5 }}T\)
2 \(\frac{{28{\mu _0}}}{{\sqrt 5 }}{T_{}}\)
3 \(\frac{{7000{\mu _0}}}{{\sqrt 5 }}T\)
4 \(\frac{{56{\mu _0}}}{{\sqrt 5 }}T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362675 The magnetic field normal to the plane of a wire of \(n\) turns and radius \(r\) which carries a current \(i\) is measured on the axis of the coil at a small distance \(h\) from the centre of the coil. This is smaller than the magnetic field at the centre by the fraction

1 \(\dfrac{2 h^{2}}{3 r^{2}}\)
2 \(\dfrac{3 r^{2}}{2 h^{2}}\)
3 \(\dfrac{2 r^{2}}{3 h^{2}}\)
4 \(\dfrac{3 h^{2}}{2 r^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362676 A circular loop of radius \(r\) is carrying current 1\(A\). The ratio of magnetic field at the centre of circular loop and at a distance \(r\) from the centre of the loop on its axis is

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

362673 The magnitude of the magnetic induction at a point on the axis at a large distance (r) from the centre of a circular coil of ' \(n\) ' turns and area ' \(A\) ' carrying current (\(I\)) is given by

1 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{n A}{I r^{3}}\)
2 \(B_{\text {axis }}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I A}{r^{3}}\)
3 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I}{A r^{3}}\)
4 \({B_{axis{\text{ }}}} = \frac{{{\mu _0}}}{{4\pi }}\frac{{nIA}}{{{r^3}}}t\)
PHXII04:MOVING CHARGES AND MAGNETISM

362674 Two circular loops having same radius \((R = 10\;cm)\) and same current \(\frac{7}{2}\;A\) are placed along same axis as shown in the figure. If distance between their centres is \(10\;cm\), find the value of net magnetic field at point \(P\)
supporting img

1 \(\frac{{50{\mu _0}}}{{\sqrt 5 }}T\)
2 \(\frac{{28{\mu _0}}}{{\sqrt 5 }}{T_{}}\)
3 \(\frac{{7000{\mu _0}}}{{\sqrt 5 }}T\)
4 \(\frac{{56{\mu _0}}}{{\sqrt 5 }}T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362675 The magnetic field normal to the plane of a wire of \(n\) turns and radius \(r\) which carries a current \(i\) is measured on the axis of the coil at a small distance \(h\) from the centre of the coil. This is smaller than the magnetic field at the centre by the fraction

1 \(\dfrac{2 h^{2}}{3 r^{2}}\)
2 \(\dfrac{3 r^{2}}{2 h^{2}}\)
3 \(\dfrac{2 r^{2}}{3 h^{2}}\)
4 \(\dfrac{3 h^{2}}{2 r^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362676 A circular loop of radius \(r\) is carrying current 1\(A\). The ratio of magnetic field at the centre of circular loop and at a distance \(r\) from the centre of the loop on its axis is

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

362673 The magnitude of the magnetic induction at a point on the axis at a large distance (r) from the centre of a circular coil of ' \(n\) ' turns and area ' \(A\) ' carrying current (\(I\)) is given by

1 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{n A}{I r^{3}}\)
2 \(B_{\text {axis }}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I A}{r^{3}}\)
3 \(B_{a x i s}=\dfrac{\mu_{0}}{4 \pi} \dfrac{2 n I}{A r^{3}}\)
4 \({B_{axis{\text{ }}}} = \frac{{{\mu _0}}}{{4\pi }}\frac{{nIA}}{{{r^3}}}t\)
PHXII04:MOVING CHARGES AND MAGNETISM

362674 Two circular loops having same radius \((R = 10\;cm)\) and same current \(\frac{7}{2}\;A\) are placed along same axis as shown in the figure. If distance between their centres is \(10\;cm\), find the value of net magnetic field at point \(P\)
supporting img

1 \(\frac{{50{\mu _0}}}{{\sqrt 5 }}T\)
2 \(\frac{{28{\mu _0}}}{{\sqrt 5 }}{T_{}}\)
3 \(\frac{{7000{\mu _0}}}{{\sqrt 5 }}T\)
4 \(\frac{{56{\mu _0}}}{{\sqrt 5 }}T\)
PHXII04:MOVING CHARGES AND MAGNETISM

362675 The magnetic field normal to the plane of a wire of \(n\) turns and radius \(r\) which carries a current \(i\) is measured on the axis of the coil at a small distance \(h\) from the centre of the coil. This is smaller than the magnetic field at the centre by the fraction

1 \(\dfrac{2 h^{2}}{3 r^{2}}\)
2 \(\dfrac{3 r^{2}}{2 h^{2}}\)
3 \(\dfrac{2 r^{2}}{3 h^{2}}\)
4 \(\dfrac{3 h^{2}}{2 r^{2}}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362676 A circular loop of radius \(r\) is carrying current 1\(A\). The ratio of magnetic field at the centre of circular loop and at a distance \(r\) from the centre of the loop on its axis is

1 \(3 \sqrt{2}: 2\)
2 \(2 \sqrt{2}: 1\)
3 \(1: \sqrt{2}\)
4 \(1: 3 \sqrt{2}\)