An infinitely long straight conductor carries a current of $5 \,\mathrm{~A}$ as shown. An electron is moving with a speed of $10^{5} \, \mathrm{~m} / \mathrm{s}$ parallel to the conductor. The perpendicular distance between the electron and the conductor is $20 \, \mathrm{~cm}$ at an instant. Calculate the magnitude of the force experienced by the electron at that instant in $\times 10^{-20} \,N$

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

Two long parallel wires are at a distance of $1$ metre. Both of them carry one ampere of current. The force of attraction per unit length between the two wires is

A single turn current loop in the shape of a right angle triangle with sides $5\,cm , 12\,cm , 13\,cm$ is carrying a current of $2\,A$. The loop is in a uniform magnetic field of magnitude $0.75\,T$ whose direction is parallel to the current in the $13\,cm$ side of the loop. The magnitude of the magnetic force on the $5\,cm$ side will be $\frac{ x }{130}\,N$. The value of $x$ is $..........$

A current of $10\, ampere$ is flowing in a wire of length $1.5\, m$. A force of $15\, N$ acts on it when it is placed in a uniform magnetic field of $2$ $tesla$. The angle between the magnetic field and the direction of the current is.....$^o$

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 $\hat{ z }, F =0$