A flat circular wire loop of radius \(R\) carries a steady current \(I\), producing a magnetic field of magnitude \(B_0\) at the center of the loop. The loop is modified such that its radius is reduced to \(\dfrac{R}{2}\) and the current flowing through it is increased to \(3I\). Which of the following expresses the magnitude of the new magnetic field at the center of the loop in terms of \(B_0\)?