Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is $5.0 \mathrm{~cm}$. The magnitude of the magnetic field at a point $P$ midway between the wires is __________$\mu \mathrm{T}$ (Given : $\mu_0=4 \pi \times 10^{-7} \mathrm{TmA}^{-1}$ )

A metallic loop is placed in a magnetic field. If a current is passed through it, then

A triangular shaped wire carrying $10 A$ current is placed in a uniform magnetic field of $0.5\,T$, as shown in figure. The magnetic force on segment $CD$ is $....N$ $($ Given $BC = CD = BD =5\,cm )$.

Two long parallel wires carrying equal current separated by $1\,m$, exert a force of $2 \times {10^{ - 7}}\,N/m$ on one another. The current flowing through them is

A conductor (shown in the figure) carrying constant current $I$ is kept in the $x-y$ plane in a uniform magnetic field $\vec{B}$. If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statement$(s)$ is(are) $Image$

$(A)$ If $\vec{B}$ is along $\hat{z}, F \propto(L+R)$

$(B)$ If $\overrightarrow{ B }$ is along $\hat{ x }, F =0$

$(C)$ If $\vec{B}$ is along $\hat{y}, F \propto(L+R)$

$(D)$ If $\overrightarrow{ B }$ is along $\hat{ z }, F =0$

A thin flexible wire of length $\mathrm{L}$ is connected to two adjacent fixed points and carries a current $\mathrm{I}$ in the clockwise direction, as shown in the figure. When the system is put in a uniform magnetic field of strength $B$ going into the plane of the paper, the wire takes the shape of a circle. The tension in the wire is