A circular circuit loop of radius H consists of a capacitor of capacitance C, and two inductors with inductance $L_1$ and $L_2$. At $t = 0$ the charge on the top plate of the capacitor is $-Q_0$ while the charge on the bottom plate is $+Q_0$, while the current is $i_0$ flowing in the counterclockwise direction as shown. There is an external magnetic field of magnitude $\beta t$ which points out of the page.
a) Starting with some law, find the equation you could solve to find the charge on the capacitor as a function of time.
b) Find the charge on the capacitor as a function of time.
