A long ideal solenoid with radius \(R\) and \(n\) turns per unit length carries a time-varying current \(I(t)\). Two single-turn circular wire loops are placed concentric with the solenoid central axis, both oriented in planes perpendicular to the axis. Loop 1 has radius \(r_1 < R\), and Loop 2 has radius \(r_2 > R\). If the current in the solenoid changes at a constant rate \(\dfrac{\Delta I}{\Delta t}\), what is the ratio of the magnitude of the induced electromotive force in Loop 1 to that in Loop 2, \(\dfrac{\mathcal{E}_1}{\mathcal{E}_2}\)?