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

Question

G1 Physics · Accepted Answer

For a wire of arbitrary shape in uniform B, F⃗=I( r⃗ at end - r⃗ at start )×B⃗. From the shown end-to-end displacement, fields along z or y give force proportional to the relevant span (L+R), while B along x gives zero when the displacement is parallel to x. Hence A,B,C are correct and D is false.