An LC circuit in code

You will write three functions for an LC circuit that has no resistance.

The idea. The angular frequency is $\omega_0 = 1/\sqrt{LC}$. The charge on the capacitor is $q = q_0\cos\omega_0 t$. A capacitor charged to $V_0$ gives the largest current $I_0 = V_0\sqrt{C/L}$. All the values are in SI units: henry, farad, volt, coulomb, second.

Your tasks.

1. In lc_frequency, return the frequency in hertz.
2. In peak_current, return the largest current in ampere.
3. In charge_at, return the charge on the capacitor at the time t, in coulomb.