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

153107 A very long conducting wire is bent in a semicircular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by :

1 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed away from the page
2 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed away from page
3 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed into the page
4 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed into the page
Moving Charges & Magnetism

153108 A wire carrying a current $I$ along the positive $x$-axis has length $L$. It is kept in a magnetic field $\vec{B}=(2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}) \mathbf{T}$. The magnitude of the magnetic force acting on the wire is :

1 $\sqrt{5} \mathrm{IL}$
2 $5 \mathrm{IL}$
3 $\sqrt{3} \mathrm{IL}$
4 3 IL
Moving Charges & Magnetism

153110 A circular loop of radius $r$ is carrying current IA. The ratio of magnetic field at the center of circular loop and at a distance $r$ from the center of the loop on its axis is:

1 $1: 3 \sqrt{2}$
2 $2 \sqrt{2}: 1$
3 $3 \sqrt{2}: 2$
4 $1: \sqrt{2}$
Moving Charges & Magnetism

153111 The electric current in a circular coil of four turns produces a magnetic induction $32 \mathrm{~T}$ at its centre. The coil is unwound and is rewound in to a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be.

1 $8 \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $4 \mathrm{~T}$
4 $16 \mathrm{~T}$
Moving Charges & Magnetism

153112 A square loop of area $25 \mathrm{~cm}^{2}$ has a resistance of $10 \Omega$. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in $1.0 \mathrm{sec}$, will be

1 $5 \times 10^{-3} \mathrm{~J}$
2 $1.0 \times 10^{-4} \mathrm{~J}$
3 $2.5 \times 10^{-3} \mathrm{~J}$
4 $1.0 \times 10^{-3} \mathrm{~J}$
Moving Charges & Magnetism

153107 A very long conducting wire is bent in a semicircular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by :

1 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed away from the page
2 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed away from page
3 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed into the page
4 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed into the page
Moving Charges & Magnetism

153108 A wire carrying a current $I$ along the positive $x$-axis has length $L$. It is kept in a magnetic field $\vec{B}=(2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}) \mathbf{T}$. The magnitude of the magnetic force acting on the wire is :

1 $\sqrt{5} \mathrm{IL}$
2 $5 \mathrm{IL}$
3 $\sqrt{3} \mathrm{IL}$
4 3 IL
Moving Charges & Magnetism

153110 A circular loop of radius $r$ is carrying current IA. The ratio of magnetic field at the center of circular loop and at a distance $r$ from the center of the loop on its axis is:

1 $1: 3 \sqrt{2}$
2 $2 \sqrt{2}: 1$
3 $3 \sqrt{2}: 2$
4 $1: \sqrt{2}$
Moving Charges & Magnetism

153111 The electric current in a circular coil of four turns produces a magnetic induction $32 \mathrm{~T}$ at its centre. The coil is unwound and is rewound in to a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be.

1 $8 \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $4 \mathrm{~T}$
4 $16 \mathrm{~T}$
Moving Charges & Magnetism

153112 A square loop of area $25 \mathrm{~cm}^{2}$ has a resistance of $10 \Omega$. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in $1.0 \mathrm{sec}$, will be

1 $5 \times 10^{-3} \mathrm{~J}$
2 $1.0 \times 10^{-4} \mathrm{~J}$
3 $2.5 \times 10^{-3} \mathrm{~J}$
4 $1.0 \times 10^{-3} \mathrm{~J}$
Moving Charges & Magnetism

153107 A very long conducting wire is bent in a semicircular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by :

1 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed away from the page
2 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed away from page
3 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed into the page
4 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed into the page
Moving Charges & Magnetism

153108 A wire carrying a current $I$ along the positive $x$-axis has length $L$. It is kept in a magnetic field $\vec{B}=(2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}) \mathbf{T}$. The magnitude of the magnetic force acting on the wire is :

1 $\sqrt{5} \mathrm{IL}$
2 $5 \mathrm{IL}$
3 $\sqrt{3} \mathrm{IL}$
4 3 IL
Moving Charges & Magnetism

153110 A circular loop of radius $r$ is carrying current IA. The ratio of magnetic field at the center of circular loop and at a distance $r$ from the center of the loop on its axis is:

1 $1: 3 \sqrt{2}$
2 $2 \sqrt{2}: 1$
3 $3 \sqrt{2}: 2$
4 $1: \sqrt{2}$
Moving Charges & Magnetism

153111 The electric current in a circular coil of four turns produces a magnetic induction $32 \mathrm{~T}$ at its centre. The coil is unwound and is rewound in to a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be.

1 $8 \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $4 \mathrm{~T}$
4 $16 \mathrm{~T}$
Moving Charges & Magnetism

153112 A square loop of area $25 \mathrm{~cm}^{2}$ has a resistance of $10 \Omega$. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in $1.0 \mathrm{sec}$, will be

1 $5 \times 10^{-3} \mathrm{~J}$
2 $1.0 \times 10^{-4} \mathrm{~J}$
3 $2.5 \times 10^{-3} \mathrm{~J}$
4 $1.0 \times 10^{-3} \mathrm{~J}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Moving Charges & Magnetism

153107 A very long conducting wire is bent in a semicircular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by :

1 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed away from the page
2 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed away from page
3 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed into the page
4 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed into the page
Moving Charges & Magnetism

153108 A wire carrying a current $I$ along the positive $x$-axis has length $L$. It is kept in a magnetic field $\vec{B}=(2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}) \mathbf{T}$. The magnitude of the magnetic force acting on the wire is :

1 $\sqrt{5} \mathrm{IL}$
2 $5 \mathrm{IL}$
3 $\sqrt{3} \mathrm{IL}$
4 3 IL
Moving Charges & Magnetism

153110 A circular loop of radius $r$ is carrying current IA. The ratio of magnetic field at the center of circular loop and at a distance $r$ from the center of the loop on its axis is:

1 $1: 3 \sqrt{2}$
2 $2 \sqrt{2}: 1$
3 $3 \sqrt{2}: 2$
4 $1: \sqrt{2}$
Moving Charges & Magnetism

153111 The electric current in a circular coil of four turns produces a magnetic induction $32 \mathrm{~T}$ at its centre. The coil is unwound and is rewound in to a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be.

1 $8 \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $4 \mathrm{~T}$
4 $16 \mathrm{~T}$
Moving Charges & Magnetism

153112 A square loop of area $25 \mathrm{~cm}^{2}$ has a resistance of $10 \Omega$. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in $1.0 \mathrm{sec}$, will be

1 $5 \times 10^{-3} \mathrm{~J}$
2 $1.0 \times 10^{-4} \mathrm{~J}$
3 $2.5 \times 10^{-3} \mathrm{~J}$
4 $1.0 \times 10^{-3} \mathrm{~J}$
Moving Charges & Magnetism

153107 A very long conducting wire is bent in a semicircular shape from $A$ to $B$ as shown in figure. The magnetic field at point $P$ for steady current configuration is given by :

1 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed away from the page
2 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed away from page
3 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}\left[1-\frac{2}{\pi}\right]$ pointed into the page
4 $\frac{\mu_{0} \mathrm{i}}{4 \mathrm{R}}$ pointed into the page
Moving Charges & Magnetism

153108 A wire carrying a current $I$ along the positive $x$-axis has length $L$. It is kept in a magnetic field $\vec{B}=(2 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}}) \mathbf{T}$. The magnitude of the magnetic force acting on the wire is :

1 $\sqrt{5} \mathrm{IL}$
2 $5 \mathrm{IL}$
3 $\sqrt{3} \mathrm{IL}$
4 3 IL
Moving Charges & Magnetism

153110 A circular loop of radius $r$ is carrying current IA. The ratio of magnetic field at the center of circular loop and at a distance $r$ from the center of the loop on its axis is:

1 $1: 3 \sqrt{2}$
2 $2 \sqrt{2}: 1$
3 $3 \sqrt{2}: 2$
4 $1: \sqrt{2}$
Moving Charges & Magnetism

153111 The electric current in a circular coil of four turns produces a magnetic induction $32 \mathrm{~T}$ at its centre. The coil is unwound and is rewound in to a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be.

1 $8 \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $4 \mathrm{~T}$
4 $16 \mathrm{~T}$
Moving Charges & Magnetism

153112 A square loop of area $25 \mathrm{~cm}^{2}$ has a resistance of $10 \Omega$. The loop is placed in uniform magnetic field of magnitude 40.0 T. The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in $1.0 \mathrm{sec}$, will be

1 $5 \times 10^{-3} \mathrm{~J}$
2 $1.0 \times 10^{-4} \mathrm{~J}$
3 $2.5 \times 10^{-3} \mathrm{~J}$
4 $1.0 \times 10^{-3} \mathrm{~J}$