GATE Electrical Engineering (EE) 2014 Shift 2 Solved Paper

The magnitude of magnetic flux density $\left(\overrightarrow{\mathit{B}}\right)$ at a point having normal distance d meters from an infinitely extended wire carrying current of 1 A is $\frac{\mathit{\mu }{}_0\mathit{I}}{2\mathit{n}\mathit{d}}$ (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 $\hat{\mathit{I}},\hat{\mathit{J}},\hat{\mathit{K}}$ 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