An ideal LC circuit consists of an air-filled parallel-plate capacitor with plate area \(A\) and plate separation \(d\), connected to an ideal long solenoid inductor of length \(\ell\), cross-sectional area \(A_s\), and \(N\) total turns. The capacitor is initially charged to a potential difference \(V_0\) and then connected across the solenoid at time \(t = 0\). In terms of \(V_0\), \(A\), \(d\), \(A_s\), \(\ell\), and physical constants, what is the maximum magnitude \(B_{\text{max}}\)