00. Biot-Savart's Law and Magnetic Field, Lorentz Force
Moving Charges & Magnetism

153149 The magnetic field due to current carrying a circular loop of radius $5 \mathrm{~cm}$ at a point on the axis at a distance of $12 \mathrm{~cm}$ from the center is $250 \mu \mathrm{T}$. The magnetic field at the center of the loop is

1 $2529 \mu \mathrm{T}$
2 $4394 \mu \mathrm{T}$
3 $1759 \mu \mathrm{T}$
4 $2908 \mu \mathrm{T}$
Moving Charges & Magnetism

153150 A thin charged rod is bent into the shape of a small circle of radius $R$ the charge per unit length of the rod being $\lambda$. The circle is rotated about its axis with a time period $T$ and it is found that the magnetic field at a distance ' $d$ ' away $(d>R)$ from the center and on the axis, varies as $\frac{R^{m}}{d^{n}}$ The values of $m$ and $n$ respectively are

1 $\mathrm{m}=2, \mathrm{n}=2$
2 $\mathrm{m}=2, \mathrm{n}=3$
3 $\mathrm{m}=3, \mathrm{n}=2$
4 $\mathrm{m}=3, \mathrm{n}=3$
Moving Charges & Magnetism

153151
Consider two infinitely long wires parallel to $\mathrm{Z}$ axis carrying same current $I$ in the positive $Z$ direction. One wire passes through the point $L$ at coordinates $(-1,+1)$ and the other wire passes through the point $M$ at coordinates $(-1$, $-1)$. The resultant magnetic field at the origin $O$ will be

1 $\frac{\mu_{0} I}{2 \sqrt{2} \pi} \hat{j}$
2 $\frac{\mu_{0} \mathrm{I}}{2 \pi} \hat{\mathrm{j}}$
3 $\frac{\mu_{0} \mathrm{I}}{2 \sqrt{2} \pi} \hat{\mathrm{i}}$
4 $\frac{\mu_{0} \mathrm{I}}{4 \pi} \hat{\mathrm{i}}$
Moving Charges & Magnetism

153152 Two concentric coplanar circular loops of radii $r_{1}$ and $r_{2}$ carry currents $i_{1}$ and $i_{2}$ respectively in opposite directions ( $i_{1}$ clockwise and $i_{2}$ anticlockwise). The magnetic induction at the centre of the loops is half of that due to $i_{1}$ alone at the centre. If $r_{2}=\mathbf{2} r_{1}$, the value of $i_{2} / i_{1}=$

1 2
2 0.5
3 0.25
4 1
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153149 The magnetic field due to current carrying a circular loop of radius $5 \mathrm{~cm}$ at a point on the axis at a distance of $12 \mathrm{~cm}$ from the center is $250 \mu \mathrm{T}$. The magnetic field at the center of the loop is

1 $2529 \mu \mathrm{T}$
2 $4394 \mu \mathrm{T}$
3 $1759 \mu \mathrm{T}$
4 $2908 \mu \mathrm{T}$
Moving Charges & Magnetism

153150 A thin charged rod is bent into the shape of a small circle of radius $R$ the charge per unit length of the rod being $\lambda$. The circle is rotated about its axis with a time period $T$ and it is found that the magnetic field at a distance ' $d$ ' away $(d>R)$ from the center and on the axis, varies as $\frac{R^{m}}{d^{n}}$ The values of $m$ and $n$ respectively are

1 $\mathrm{m}=2, \mathrm{n}=2$
2 $\mathrm{m}=2, \mathrm{n}=3$
3 $\mathrm{m}=3, \mathrm{n}=2$
4 $\mathrm{m}=3, \mathrm{n}=3$
Moving Charges & Magnetism

153151
Consider two infinitely long wires parallel to $\mathrm{Z}$ axis carrying same current $I$ in the positive $Z$ direction. One wire passes through the point $L$ at coordinates $(-1,+1)$ and the other wire passes through the point $M$ at coordinates $(-1$, $-1)$. The resultant magnetic field at the origin $O$ will be

1 $\frac{\mu_{0} I}{2 \sqrt{2} \pi} \hat{j}$
2 $\frac{\mu_{0} \mathrm{I}}{2 \pi} \hat{\mathrm{j}}$
3 $\frac{\mu_{0} \mathrm{I}}{2 \sqrt{2} \pi} \hat{\mathrm{i}}$
4 $\frac{\mu_{0} \mathrm{I}}{4 \pi} \hat{\mathrm{i}}$
Moving Charges & Magnetism

153152 Two concentric coplanar circular loops of radii $r_{1}$ and $r_{2}$ carry currents $i_{1}$ and $i_{2}$ respectively in opposite directions ( $i_{1}$ clockwise and $i_{2}$ anticlockwise). The magnetic induction at the centre of the loops is half of that due to $i_{1}$ alone at the centre. If $r_{2}=\mathbf{2} r_{1}$, the value of $i_{2} / i_{1}=$

1 2
2 0.5
3 0.25
4 1
Moving Charges & Magnetism

153149 The magnetic field due to current carrying a circular loop of radius $5 \mathrm{~cm}$ at a point on the axis at a distance of $12 \mathrm{~cm}$ from the center is $250 \mu \mathrm{T}$. The magnetic field at the center of the loop is

1 $2529 \mu \mathrm{T}$
2 $4394 \mu \mathrm{T}$
3 $1759 \mu \mathrm{T}$
4 $2908 \mu \mathrm{T}$
Moving Charges & Magnetism

153150 A thin charged rod is bent into the shape of a small circle of radius $R$ the charge per unit length of the rod being $\lambda$. The circle is rotated about its axis with a time period $T$ and it is found that the magnetic field at a distance ' $d$ ' away $(d>R)$ from the center and on the axis, varies as $\frac{R^{m}}{d^{n}}$ The values of $m$ and $n$ respectively are

1 $\mathrm{m}=2, \mathrm{n}=2$
2 $\mathrm{m}=2, \mathrm{n}=3$
3 $\mathrm{m}=3, \mathrm{n}=2$
4 $\mathrm{m}=3, \mathrm{n}=3$
Moving Charges & Magnetism

153151
Consider two infinitely long wires parallel to $\mathrm{Z}$ axis carrying same current $I$ in the positive $Z$ direction. One wire passes through the point $L$ at coordinates $(-1,+1)$ and the other wire passes through the point $M$ at coordinates $(-1$, $-1)$. The resultant magnetic field at the origin $O$ will be

1 $\frac{\mu_{0} I}{2 \sqrt{2} \pi} \hat{j}$
2 $\frac{\mu_{0} \mathrm{I}}{2 \pi} \hat{\mathrm{j}}$
3 $\frac{\mu_{0} \mathrm{I}}{2 \sqrt{2} \pi} \hat{\mathrm{i}}$
4 $\frac{\mu_{0} \mathrm{I}}{4 \pi} \hat{\mathrm{i}}$
Moving Charges & Magnetism

153152 Two concentric coplanar circular loops of radii $r_{1}$ and $r_{2}$ carry currents $i_{1}$ and $i_{2}$ respectively in opposite directions ( $i_{1}$ clockwise and $i_{2}$ anticlockwise). The magnetic induction at the centre of the loops is half of that due to $i_{1}$ alone at the centre. If $r_{2}=\mathbf{2} r_{1}$, the value of $i_{2} / i_{1}=$

1 2
2 0.5
3 0.25
4 1
Moving Charges & Magnetism

153149 The magnetic field due to current carrying a circular loop of radius $5 \mathrm{~cm}$ at a point on the axis at a distance of $12 \mathrm{~cm}$ from the center is $250 \mu \mathrm{T}$. The magnetic field at the center of the loop is

1 $2529 \mu \mathrm{T}$
2 $4394 \mu \mathrm{T}$
3 $1759 \mu \mathrm{T}$
4 $2908 \mu \mathrm{T}$
Moving Charges & Magnetism

153150 A thin charged rod is bent into the shape of a small circle of radius $R$ the charge per unit length of the rod being $\lambda$. The circle is rotated about its axis with a time period $T$ and it is found that the magnetic field at a distance ' $d$ ' away $(d>R)$ from the center and on the axis, varies as $\frac{R^{m}}{d^{n}}$ The values of $m$ and $n$ respectively are

1 $\mathrm{m}=2, \mathrm{n}=2$
2 $\mathrm{m}=2, \mathrm{n}=3$
3 $\mathrm{m}=3, \mathrm{n}=2$
4 $\mathrm{m}=3, \mathrm{n}=3$
Moving Charges & Magnetism

153151
Consider two infinitely long wires parallel to $\mathrm{Z}$ axis carrying same current $I$ in the positive $Z$ direction. One wire passes through the point $L$ at coordinates $(-1,+1)$ and the other wire passes through the point $M$ at coordinates $(-1$, $-1)$. The resultant magnetic field at the origin $O$ will be

1 $\frac{\mu_{0} I}{2 \sqrt{2} \pi} \hat{j}$
2 $\frac{\mu_{0} \mathrm{I}}{2 \pi} \hat{\mathrm{j}}$
3 $\frac{\mu_{0} \mathrm{I}}{2 \sqrt{2} \pi} \hat{\mathrm{i}}$
4 $\frac{\mu_{0} \mathrm{I}}{4 \pi} \hat{\mathrm{i}}$
Moving Charges & Magnetism

153152 Two concentric coplanar circular loops of radii $r_{1}$ and $r_{2}$ carry currents $i_{1}$ and $i_{2}$ respectively in opposite directions ( $i_{1}$ clockwise and $i_{2}$ anticlockwise). The magnetic induction at the centre of the loops is half of that due to $i_{1}$ alone at the centre. If $r_{2}=\mathbf{2} r_{1}$, the value of $i_{2} / i_{1}=$

1 2
2 0.5
3 0.25
4 1