Two concentric, circular wire loops of radius \(R\) and \(2R\) lie in the same plane. A uniform magnetic field \(\vec{B}\) is directed perpendicular to the plane of the loops. What is the ratio \(\dfrac{\Phi_1}{\Phi_2}\) of the magnetic flux through the inner loop of radius \(R\) to the magnetic flux through the outer loop of radius \(2R\)?