Force on current-carrying conductor, force between parallel currents

A wire carrying a current \(I\) along the positive \(x\)-axis has length \(L\). It is kept in a magnetic field \(\vec{B}=(2\hat{i}+3\hat{j}-4\hat{k})\) T. The magnitude of the magnetic force acting on the wire is :

A metallic rod of mass per unit length \(0.5\) kg m\(^{-1}\) is lying horizontally on a smooth inclined plane which makes an angle of \(30^\circ\) with the horizontal. The rod is not allowed to slide down by flowing a current through it when a magnetic field of induction \(0.25\) T is acting on it in the vertical direction. The current flowing in the rod to keep it stationary is

An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current 'I' along the same direction is shown in Fig. Magnitude of force per unit length on the middle wire 'B' is given by :

A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be :