A thin straight wire segment of length \(L\) carrying a steady current \(I\) lies along the horizontal axis. Using the Biot–Savart law, the magnitude of the magnetic field at a point \(P\) located a perpendicular distance \(d\) from the midpoint of the segment is given by \(B = \dfrac{\mu_0 I L}{2\pi d \sqrt{L^2 + 4d^2}}\). Which of the following correctly describes the behavior of this magnetic field in the limits \(L \gg d\) and \(d \gg L\)?