A current-carrying straight conductor is placed inside a solenoid perpendicularly to its axis. As shown in the figure, the current of magnitude 3.0 A is flowing along the positive y-direction. The current is perpendicular to the 1.50 T uniform magnetic field, directed along the positive x-direction. Calculate i) the magnitude and ii) the direction of the magnetic force exerted on a 2 cm-long segment of the conductor.

A 1.0 m long conductor rod transporting a current of 1.5 A is brought between Helmholtz coils. The magnetic field between the two coils is uniform, directed along the positive y-axis, and has a magnitude of 80.0 μT. Calculate the force exerted by the Helmholtz coil on the wire if the current flows along i) the positive x-direction, ii) the positive z-direction, and iii) the negative y-direction. iv) Would the magnetic force deform the rod?

A long straight copper rod with a linear mass density of m/L is suspended using massless strings. A current is sent through the rod. A vertically upward magnetic force displaces the rod by θ degrees, measured from the vertical. What is the strength of the magnetic field? Use symbols as necessary.

Three identical wires with a linear mass density of 25 g/m are assembled to form an isosceles triangle with a base angle of 45 degrees.  The currents are equal, and the directions are as shown. The two base wires have a separation of 1.5 cm and are fixed to a bench. Calculate the value of the current that causes the top wire to get suspended, forming a base angle of 45 degrees.