Two long, straight wires, each carrying a current of 5A, are placed along the x and y axes respectively. The currents point along the positive directions of the axes. Find the magnetic fields at the points (a) (1m, 1m), (b) (-1m, 1m), (c) (-1m, -1m) and (d) (1m, -1m).

Explanation

(a) At point (1m,1m). Magnetic fields due to teach wire are same in magnitude but opposite in direction. Hence net magnetic field = 0 (b) At point (-1 m, 1m) magnetic field due ot these two wires `=((2xx10^(-7)xx5 )/(1) + (2xx10^(-7)xx5)/(1))`
`. `=2xx10^(-6)T`
along z-axis `=2pi T`.
`along z-axis`. (c ) similar as (a) net magnetic filed `B = 0 (d)` Similar as (b), here net magnetic filed are in opposite z-direction and its magnitude `B = 2muT`.