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

153166 A long cylindrical wire of radius $R$ carries a uniform current $I$ flowing through it. The variation of magnetic field with distance $r$ from the axis of the wire is shown by :

1
2
3
4
Moving Charges & Magnetism

153164
As shown in the figure, a wire is bent to form a Dshaped closed loop, carrying current I, where the curved part is a semi-circle of radius $R$. The loop is placed in a uniform magnetic field $\vec{B}$, which is directed into the plane of the paper. The magnetic force felt by the closed loop is

1 zero
2 IRB
3 2 IRB
4 $\frac{1}{2} \mathrm{IRB}$
Moving Charges & Magnetism

153167 When a certain length of wire is turned into one circular loop, the magnetic induction at the centre of coil due to current ' $I$ ' flowing through it is $B_{1}$. If the same wire is turned into four loops to make a circular coil, the magnetic induction at the centre of this coil is ' $B_{2}$ ' for same current then relation between $B_{2}$ and $B_{1}$ is

1 $\mathrm{B}_{2}=8 \mathrm{~B}_{1}$
2 $\mathrm{B}_{2}=16 \mathrm{~B}_{1}$
3 $\mathrm{B}_{2}=4 \mathrm{~B}_{1}$
4 $\mathrm{B}_{2}=64 \mathrm{~B}_{1}$
Moving Charges & Magnetism

153168 An electron moves in a circular orbit of radius ' $r$ ' with uniform speed ' $v$ '. It produces magnetic field ' $B$ ' at the centre of circle. The magnetic field ' $B$ ' is proportional to

1 $\frac{\mathrm{v}}{\mathrm{r}^{2}}$
2 $\frac{1}{\mathrm{vr}^{2}}$
3 $\mathrm{vr}^{2}$
4 $\frac{r^{2}}{v}$
Moving Charges & Magnetism

153170 An infinitely long straight conductor is bent into shape as shown in figure. It carries a current $I \mathrm{~A}$ and the radius of circular loop is $r$ $m$. The magnetic induction at the centre of the circular loop is

1 $\frac{\mu_{0} I(\pi-1)}{2 \pi \mathrm{r}}$
2 $\frac{\mu_{0} I(\pi+1)}{2 \pi \mathrm{r}}$
3 $\frac{\mu_{0} I(2 \pi-1)}{2 \pi r}$
4 $\frac{\mu_{0} I(2 \pi+1)}{2 \pi \mathrm{r}}$
Moving Charges & Magnetism

153166 A long cylindrical wire of radius $R$ carries a uniform current $I$ flowing through it. The variation of magnetic field with distance $r$ from the axis of the wire is shown by :

1
2
3
4
Moving Charges & Magnetism

153164
As shown in the figure, a wire is bent to form a Dshaped closed loop, carrying current I, where the curved part is a semi-circle of radius $R$. The loop is placed in a uniform magnetic field $\vec{B}$, which is directed into the plane of the paper. The magnetic force felt by the closed loop is

1 zero
2 IRB
3 2 IRB
4 $\frac{1}{2} \mathrm{IRB}$
Moving Charges & Magnetism

153167 When a certain length of wire is turned into one circular loop, the magnetic induction at the centre of coil due to current ' $I$ ' flowing through it is $B_{1}$. If the same wire is turned into four loops to make a circular coil, the magnetic induction at the centre of this coil is ' $B_{2}$ ' for same current then relation between $B_{2}$ and $B_{1}$ is

1 $\mathrm{B}_{2}=8 \mathrm{~B}_{1}$
2 $\mathrm{B}_{2}=16 \mathrm{~B}_{1}$
3 $\mathrm{B}_{2}=4 \mathrm{~B}_{1}$
4 $\mathrm{B}_{2}=64 \mathrm{~B}_{1}$
Moving Charges & Magnetism

153168 An electron moves in a circular orbit of radius ' $r$ ' with uniform speed ' $v$ '. It produces magnetic field ' $B$ ' at the centre of circle. The magnetic field ' $B$ ' is proportional to

1 $\frac{\mathrm{v}}{\mathrm{r}^{2}}$
2 $\frac{1}{\mathrm{vr}^{2}}$
3 $\mathrm{vr}^{2}$
4 $\frac{r^{2}}{v}$
Moving Charges & Magnetism

153170 An infinitely long straight conductor is bent into shape as shown in figure. It carries a current $I \mathrm{~A}$ and the radius of circular loop is $r$ $m$. The magnetic induction at the centre of the circular loop is

1 $\frac{\mu_{0} I(\pi-1)}{2 \pi \mathrm{r}}$
2 $\frac{\mu_{0} I(\pi+1)}{2 \pi \mathrm{r}}$
3 $\frac{\mu_{0} I(2 \pi-1)}{2 \pi r}$
4 $\frac{\mu_{0} I(2 \pi+1)}{2 \pi \mathrm{r}}$
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Moving Charges & Magnetism

153166 A long cylindrical wire of radius $R$ carries a uniform current $I$ flowing through it. The variation of magnetic field with distance $r$ from the axis of the wire is shown by :

1
2
3
4
Moving Charges & Magnetism

153164
As shown in the figure, a wire is bent to form a Dshaped closed loop, carrying current I, where the curved part is a semi-circle of radius $R$. The loop is placed in a uniform magnetic field $\vec{B}$, which is directed into the plane of the paper. The magnetic force felt by the closed loop is

1 zero
2 IRB
3 2 IRB
4 $\frac{1}{2} \mathrm{IRB}$
Moving Charges & Magnetism

153167 When a certain length of wire is turned into one circular loop, the magnetic induction at the centre of coil due to current ' $I$ ' flowing through it is $B_{1}$. If the same wire is turned into four loops to make a circular coil, the magnetic induction at the centre of this coil is ' $B_{2}$ ' for same current then relation between $B_{2}$ and $B_{1}$ is

1 $\mathrm{B}_{2}=8 \mathrm{~B}_{1}$
2 $\mathrm{B}_{2}=16 \mathrm{~B}_{1}$
3 $\mathrm{B}_{2}=4 \mathrm{~B}_{1}$
4 $\mathrm{B}_{2}=64 \mathrm{~B}_{1}$
Moving Charges & Magnetism

153168 An electron moves in a circular orbit of radius ' $r$ ' with uniform speed ' $v$ '. It produces magnetic field ' $B$ ' at the centre of circle. The magnetic field ' $B$ ' is proportional to

1 $\frac{\mathrm{v}}{\mathrm{r}^{2}}$
2 $\frac{1}{\mathrm{vr}^{2}}$
3 $\mathrm{vr}^{2}$
4 $\frac{r^{2}}{v}$
Moving Charges & Magnetism

153170 An infinitely long straight conductor is bent into shape as shown in figure. It carries a current $I \mathrm{~A}$ and the radius of circular loop is $r$ $m$. The magnetic induction at the centre of the circular loop is

1 $\frac{\mu_{0} I(\pi-1)}{2 \pi \mathrm{r}}$
2 $\frac{\mu_{0} I(\pi+1)}{2 \pi \mathrm{r}}$
3 $\frac{\mu_{0} I(2 \pi-1)}{2 \pi r}$
4 $\frac{\mu_{0} I(2 \pi+1)}{2 \pi \mathrm{r}}$
Moving Charges & Magnetism

153166 A long cylindrical wire of radius $R$ carries a uniform current $I$ flowing through it. The variation of magnetic field with distance $r$ from the axis of the wire is shown by :

1
2
3
4
Moving Charges & Magnetism

153164
As shown in the figure, a wire is bent to form a Dshaped closed loop, carrying current I, where the curved part is a semi-circle of radius $R$. The loop is placed in a uniform magnetic field $\vec{B}$, which is directed into the plane of the paper. The magnetic force felt by the closed loop is

1 zero
2 IRB
3 2 IRB
4 $\frac{1}{2} \mathrm{IRB}$
Moving Charges & Magnetism

153167 When a certain length of wire is turned into one circular loop, the magnetic induction at the centre of coil due to current ' $I$ ' flowing through it is $B_{1}$. If the same wire is turned into four loops to make a circular coil, the magnetic induction at the centre of this coil is ' $B_{2}$ ' for same current then relation between $B_{2}$ and $B_{1}$ is

1 $\mathrm{B}_{2}=8 \mathrm{~B}_{1}$
2 $\mathrm{B}_{2}=16 \mathrm{~B}_{1}$
3 $\mathrm{B}_{2}=4 \mathrm{~B}_{1}$
4 $\mathrm{B}_{2}=64 \mathrm{~B}_{1}$
Moving Charges & Magnetism

153168 An electron moves in a circular orbit of radius ' $r$ ' with uniform speed ' $v$ '. It produces magnetic field ' $B$ ' at the centre of circle. The magnetic field ' $B$ ' is proportional to

1 $\frac{\mathrm{v}}{\mathrm{r}^{2}}$
2 $\frac{1}{\mathrm{vr}^{2}}$
3 $\mathrm{vr}^{2}$
4 $\frac{r^{2}}{v}$
Moving Charges & Magnetism

153170 An infinitely long straight conductor is bent into shape as shown in figure. It carries a current $I \mathrm{~A}$ and the radius of circular loop is $r$ $m$. The magnetic induction at the centre of the circular loop is

1 $\frac{\mu_{0} I(\pi-1)}{2 \pi \mathrm{r}}$
2 $\frac{\mu_{0} I(\pi+1)}{2 \pi \mathrm{r}}$
3 $\frac{\mu_{0} I(2 \pi-1)}{2 \pi r}$
4 $\frac{\mu_{0} I(2 \pi+1)}{2 \pi \mathrm{r}}$
Moving Charges & Magnetism

153166 A long cylindrical wire of radius $R$ carries a uniform current $I$ flowing through it. The variation of magnetic field with distance $r$ from the axis of the wire is shown by :

1
2
3
4
Moving Charges & Magnetism

153164
As shown in the figure, a wire is bent to form a Dshaped closed loop, carrying current I, where the curved part is a semi-circle of radius $R$. The loop is placed in a uniform magnetic field $\vec{B}$, which is directed into the plane of the paper. The magnetic force felt by the closed loop is

1 zero
2 IRB
3 2 IRB
4 $\frac{1}{2} \mathrm{IRB}$
Moving Charges & Magnetism

153167 When a certain length of wire is turned into one circular loop, the magnetic induction at the centre of coil due to current ' $I$ ' flowing through it is $B_{1}$. If the same wire is turned into four loops to make a circular coil, the magnetic induction at the centre of this coil is ' $B_{2}$ ' for same current then relation between $B_{2}$ and $B_{1}$ is

1 $\mathrm{B}_{2}=8 \mathrm{~B}_{1}$
2 $\mathrm{B}_{2}=16 \mathrm{~B}_{1}$
3 $\mathrm{B}_{2}=4 \mathrm{~B}_{1}$
4 $\mathrm{B}_{2}=64 \mathrm{~B}_{1}$
Moving Charges & Magnetism

153168 An electron moves in a circular orbit of radius ' $r$ ' with uniform speed ' $v$ '. It produces magnetic field ' $B$ ' at the centre of circle. The magnetic field ' $B$ ' is proportional to

1 $\frac{\mathrm{v}}{\mathrm{r}^{2}}$
2 $\frac{1}{\mathrm{vr}^{2}}$
3 $\mathrm{vr}^{2}$
4 $\frac{r^{2}}{v}$
Moving Charges & Magnetism

153170 An infinitely long straight conductor is bent into shape as shown in figure. It carries a current $I \mathrm{~A}$ and the radius of circular loop is $r$ $m$. The magnetic induction at the centre of the circular loop is

1 $\frac{\mu_{0} I(\pi-1)}{2 \pi \mathrm{r}}$
2 $\frac{\mu_{0} I(\pi+1)}{2 \pi \mathrm{r}}$
3 $\frac{\mu_{0} I(2 \pi-1)}{2 \pi r}$
4 $\frac{\mu_{0} I(2 \pi+1)}{2 \pi \mathrm{r}}$