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 ${10}^{-4}N$.

The force acting per unit length on one conductor due to the other for two long parallel current-carrying wires is

Calculate the net force acting on wire element $\mathrm{BCD}$ due to the $2\mathrm{A}$ current.

Where the neutral point lies?

A thin uniform rod of negligible mass and length is $l$ attached to the floor by a frictionless hinge as shown. A horizontal spring with force constant $k$ connects the other end of the rod to a vertical wall. The rod is in a uniform magnetic field B directed in to the plane of the figure. There is a current $i$ in the rod as shown and at equilibrium rod makes $53°$ angle with the floor. The energy stored by the spring in equilibrium is

Two parallel wires carrying electric current in the same direction will attract each other because.

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

Find the force on the current carrying square loop due to infinitely long wire as shown in figure.

Two current carrying wire segments are placed as shown in figure. If force on segment $A$ due to segment $B$ is along $+x$ direction, what is the direction of force on segment $B$ due to segment $A$ ?

Magnetic field in a region is radially outward. Find force on the current carrying wire as shown in figure.

A circular wire $\mathrm{ABC}$ and a straight conductor $\mathrm{ADC}$ are carrying current $\mathrm{i}$ and are kept in the magnetic field $\mathrm{B}$ then considering points $\mathrm{A}$ and $\mathrm{C}$