Consider two infinitely long and parallel wires separated by distance d and carrying currents I₁ = -1₂. (a) Find the magnitude and direction of the vector potential A(r1, 72) at a point P where r₁ and r2 represent the distances to P from wire 1 and wire 2 respectively. (b) What is the magnitude of A for r₁ = r₂? (c) What is the value of the magnetic field B for r₁ = r₂? (d) Given that B = V x A, how can you reconcile the answers to (b) and (c) above?

Consider two infinitely long and parallel wires separated by distance d and carrying currents I₁ = -1₂. (a) Find the magnitude and direction of the vector potential A(r1, 72) at a point P where r₁ and r2 represent the distances to P from wire 1 and wire 2 respectively. (b) What is the magnitude of A for r₁ = r₂? (c) What is the value of the magnetic field B for r₁ = r₂? (d) Given that B = V x A, how can you reconcile the answers to (b) and (c) above?