The magnitude of magnetic flux density \(\left( {\vec B} \right)\) at a point having normal distance d meters from an infinitely extended wire carrying current of 1 A is \(\frac{{{\mu _0}I}}{{2nd}}\) (in SI units). An infinitely extended wire is laid along the x-axis and is carrying current of 4 A in the +ve x direction. Another infinitely extended wire is laid along the y-axis and is carrying 2 A current in the +ve y direction μ0 is permeability of free space Assume \(\hat I,\hat J,\hat K\) to be unit vectors along x, y and z axes respectively. Assuming right handed coordinate system, magnetic field intensity, at coordinate (2, 1, 0) will be

• A. \(\frac{3}{{2\pi }}\hat k\frac{{weber}}{{{m^2}}}\)
• B. \(\frac{4}{{3\pi }}\hat i\frac{A}{m}\)
• C. \(\frac{3}{{2\pi }}\hat k\frac{A}{m}\)
• D. 0 A/m