Two infinite length wires carry currents 8 A and 6 A respectively and are placed along X and Y axes respectively. Magnetic field at a point P (0,0, d) will be

Step-by-step solution

aligned & I ₁=8 ~A , I ₂=6 ~A & r = d & B ₁= 2 kI ₁ r i & B ₂=- 2 kI ₂ r j & B _ p = B ₁+ B ₂ & = 2 k r ( I ₁ i - I ₂ j )= 2 ₀ 4 ~d (8 i -6 j ) & B _ p = ₀ 2 ~d (8)^2+(-6)^2 = 5 ₀ ~d aligned