Answer
We can rank the circuits according to the period:
$(2) \gt (1) = (3)$
Work Step by Step
We can write a general equation for the charge:
$q = Q~cos~\omega t$
We can find the period for each circuit:
Circuit (1):
$\omega = 4$
$T = \frac{2\pi}{\omega} = \frac{2\pi}{4} = \frac{\pi}{2}$
Circuit (2):
$\omega = 1$
$T = \frac{2\pi}{\omega} = \frac{2\pi}{1} = 2\pi$
Circuit (3):
$\omega = 4$
$T = \frac{2\pi}{\omega} = \frac{2\pi}{4} = \frac{\pi}{2}$
We can rank the circuits according to the period:
$(2) \gt (1) = (3)$
