Two identical L-shaped wires and a circular loop are placed in the xy-plane. The first wire carries a current I₂ from x=- along the line y=2R , bends at (0, 2R) , and goes to y=+ along the y-axis. The second wire carries a current I₂ from x=+ along the line y=-2R , bends at (0, -2R) , and goes to y=- along the y-axis. A circular loop of radius R centered at the origin carries a current I₁ . If the net magnetic field

Step-by-step solution

The magnetic field at the origin due to the segments of the L-shaped wires lying along the y-axis is zero, as the origin lies on their extended axes. The magnetic field at the origin due to the semi-infinite segment of the first wire (from x=- to x=0 at y=2R ) is directed into the plane (by the right-hand rule) and its magnitude is: B₁ = ₀ I₂ 4 (2R) The magnetic field at the origin due to the semi-infinite segment of the second wire (from x=+ to x=0 at y=-2R ) is also directed into the plane and its magnitude is: B