Force on a Current-Carrying Conductor in a Uniform Magnetic Field

A straight current carrying conductor is placed in such a way that the current in the conductor flows in the direction out of the plane of the paper. The conductor is placed between two poles of two magnets, as shown



The conductor will experience a force in the direction towards

A conducting ring of mass $2 \mathrm{kg}$ and radius $0.5 \mathrm{m}$ is placed on a smooth horizontal plane. The ring carries a current $i=4 \mathrm{A}$. A horizontal magnetic field $B=10 \mathrm{T}$ is switched on at time $t=0$ as shown in the figure. The initial angular acceleration of the ring will be

In given figure, X and Y are two long straight parallel conductors each carrying a current of 2 A. The force on each conductor is F newtons. When the current in each is changed to 1 A and reversed in direction, the force on each is now

A metal ring of radius r = 0.5 m with its plane normal to a uniform magnetic field B of induction 0.2 T carries a current I = 100 A. The tension in newtons developed in the ring is :

A semi circular current carrying wire having radius $R$ is placed in $\mathrm{x}-\mathrm{y}$ plane with its centre at origin $\mathrm{{\rm O}}$. There is non-uniform magnetic field $\overrightarrow{B}=\left(\frac{{\mathrm{B}}_{\mathrm{o}}\mathrm{x}}{\mathrm{2}\mathrm{R}}\right)\widehat{\mathrm{k}}$ $\left(\text{here}{B}_{\mathrm{o}} \text{is} +\text{ve constant}\right)$  is existing in the region. The magnetic force acting on semi-circular wire will be along:

A conducting wire bent in the form of a parabola ${\text{y}}^2=2\text{x}$  carries a current i = 2 A as shown in figure. This wire is placed in a uniform magnetic field $\overrightarrow{\text{B}}=-\text{4}\widehat{\text{k}}$ Tesla. The magnetic force on the wire is (in newton)

A straight rod of mass m and length $L$ is suspended from the identical spring as shown in the figure. The spring stretched by a distance of ${\mathit{\text{x}}}_0$ due to the weight of the wire. The circuit has total resistance $R \mathrm{\Omega }$. When the magnetic field perpendicular to the plane of the paper is switched on, springs are observed to extend further by the same distance. The magnetic field strength is

A long thin-walled pipe of radius $R$ carries a current $i$ along its length. The current density is uniform over the circumference of the pipe. The magnetic field at the centre of the pipe due to the quarter portion of the pipe shown, is

An infinite wire placed along $z$-axis, has current $I_1$ in positive $z$-direction. A conducting rod placed in $xy$ plane parallel to y-axis has current $I_2$ in positive y-direction. The ends of the rod subtend angles of $+30°$ and $-60°$ at the origin with positive $x$-direction. The rod is at a distance $a$ from the origin. Find net force on the rod.

A conductor wire carrying current $i$is placed symmetrically and parallel to a long conducting sheet having a current per unit width $j_0$ and width $d$, as shown in the figure. the force per unit length on the conductor wire will be

A $U$ shaped wire of mass $m$ and length $l$ is immersed with its two ends in mercury (see figure). The wire is in a homogeneous field of magnetic induction $B$. If a charge, that is, a current pulse $q=\int i\mathrm{d}t,$sent through the wire, the wire will jump up. Calculate, from the height $h$ that the wire reaches, the size of the charge or current pulse, assuming that the time of the current pulse is very small in comparison with the time of flight. Make use of the fact that impulse of force equals $\int F\mathrm{d}t,$ which equals $mv$. Evaluate $q$ for following details:
$B=0.1 \mathrm{Wb} {\mathrm{m}}^{-2}\mathrm{,} m=10 \mathrm{g}\mathrm{,}l=20 \mathrm{cm}$
$\text{\&} \mathit{h}=3 \mathrm{m}.\left[g=\mathrm{10} \mathrm{m} {\mathrm{s}}^{-2}\right]$

A rectangular loop of wire is oriented with the left corner at the origin, one edge along X-axis and the other edge along Y-axis as shown figure. A magnetic field is into the page and has a magnitude that is given by b=$\alpha \text{y}\text{where}\alpha \text{is }$constant. Find the total magnetic force on the loop if it carries current i.

An arc of a circular loop of radius $R$ is kept in the horizontal plane and a
constant magnetic field $B$ is applied in the vertical direction as shown in
the figure. If the arc carries current $I$ then find the force on the arc.

Electric charge $q$ is uniformly distributed over a rod of length $l$. The rod is placed parallel to a long wire carrying a current $i$. The separation between the rod and the wire is $a$. Find the force needed to move the rod along its length with a uniform velocity $v$.

Which of the following expressions correctly describes for the force between two long parallel current carrying conductors:

Figure shows a rectangular current-carrying loop placed $2 cm$ away from a long, straight, current-carrying conductor. What is the magnitude of the net force acting on the loop in ${10}^{-4}N$.

A current carrying loop is in the shape of an equilateral triangle of side length a. It's mass is $M$ and it is in vertical plane. There exists a uniform horizontal magnetic field $\overrightarrow{B}$ of magnitude $B_0$ in the region as shown in the diagram. (Neglect emf induced in the loop)

An angular wire loop $ABCD$ carries a current $I_I$ as shown in figure. $O$ is the common centre of the curved parts $AB$ and $CD$ of the loop. A straight wire passing through $O$ and perpendicular to the plane of the loop carries a current $I_2$ directed towards the reader. Then