Force between Current Carrying Wires

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

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.

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 wire is placed parallel to the lines of force in a magnetic field.

The horizontal component of Earth’s magnetic field at a certain place is $3.0\times {10}^{-5}\mathrm{ }\mathrm{T}$. It is directed from the geographic south to the geographic north. The force per unit length on a very long straight conductor carrying a steady current of $1.2\mathrm{ }\mathrm{A}$ in east-west direction is:

A current of $10 \mathrm{A}$ is flowing in a wire of length $1.5 \mathrm{m}$. A force of $15 \mathrm{N}$ acts on it when it is placed in a uniform magnetic field of $2 \mathrm{T}$. The angle between the magnetic field and the direction of the current is:

Figure shows an equilateral triangle $ABC$ of side $l$ carrying currents placed in uniform magnetic field $B$. The magnitude of magnetic force on triangle is,

A current of $1 \mathrm{A}$ passes through two very long wires held parallel to each-other and separated by a distance of $1 \mathrm{m}$. The force per unit length between them is $x\times {10}^{-7} \mathrm{N}/\mathrm{m}$. Find the value of $x$.

The force on a current carrying conductor of length $1 \mathrm{cm}$ with a current of $2 \mathrm{A}$ placed parallel to a magnetic field of $2 \mathrm{T}$ is

A current of $10 A$ passes through two very long wires held parallel to each other and separated by a distance of $1 \mathrm{m}.$ The magnitude of force per unit length between them is [Use in $\frac{{\mu }_0}{4\pi }={10}^{-7}$S.I. unit]

Two thin long parallel wires separated by a distance $a$ are carrying a current  $I \mathrm{A}$each. The magnitude of the force per unit length will be

A metal wire of mass $m$ slides without friction on two rails placed at a distance $l$ apart. The track lies in a uniform vertical magnetic field$B$. A constant current $i$ flows along the rails across the wire and back down the other rail. The acceleration of the wire is

$3 \mathrm{A}$ of current is flowing in a linear conductor having a length of $40 \mathrm{cm}$. The conductor is placed in a magnetic field of strength $500 \mathrm{gauss}$ and makes an angle of $30°$ with direction of the field. It experiences a force of magnitude