-As shown in the figure, two infinitely long straight parallel wires P and Q carrying equal currents in opposite directions are arranged parallel to Y -axis. If the magnetic field due to wire P at the origin ' O ' of the co-ordinate system is B, then match the resultant magnetic fields at various points given in column A with the points given in column B . array ll Column A & Column B A) B 4 & i) (0,0) B) B 2 & ii) (

Step-by-step solution

Let the left wire (P ) be at (x=-a ) carrying current (I ) up, and the right wire (Q ) at (x=+a ) carrying equal current (I ) down. The magnetic field magnitude of an infinite straight wire at perpendicular distance (r ) is ( ₀ I 2 r ) We are told the field at the origin due to (P ) is (B ), so (B= ₀ I 2 a ₀ I 2 r =B a r ) At a point (x=k a ) (on the (x )-axis), distances to the wires are (r_P=(k+1) a, r_Q=|k-1| a . ) Their magnitudes are (B_P=B a r_P = B k+1 , B_Q=B a |k-1| = B |k-1| ) Using the cross-product/righ