Three infinitely long wires, each carrying a current 1 A, are placed such that one end of each wire is at the origin, and, one of these wires is along x-axis, the other along y-axis and the third along z-axis. Magnetic induction at point due to the system of these wires can be
expressed as:
The magnetic field due to wire placed along x-axis will be zero. The point under consideration is semi finite position of the wires placed along y-axis and z-axis.
Magnetic field due to wire placed along y-axis,
Magnetic field due to wire placed along z-axis,
Hence, net magnetic field,
After substituting the values, we get,