Two long, straight wires are positioned along the x - and y -axes, respectively, with each carrying a current of 5 A . The currents are directed along the positive directions of the axes. Determine the magnetic field at the point (-1 m , 1 m ) .

Step-by-step solution

The magnetic field due to an infinitely long straight wire carrying current I at a perpendicular distance d is given by B = ₀ I 2 d . For the wire along the x -axis, the current is in the + i direction. The point (-1, 1) is at a perpendicular distance d₁ = 1 m from the x -axis. Using the right-hand thumb rule, the magnetic field B ₁ at this point is directed along the positive z -axis ( + k ). B ₁ = 4 10⁻⁷ 5 2 1 k = 10⁻⁶ k T = 1 T k For the wire along the y -axis, the current is in the + j direction. The point (-1,