The charge on a capacitor in an ac circuit is q(t) = Q sin t. Using a

The charge on a capacitor in an ac circuit is q(t) = Q sin ωt. Using a small-angle approximation (Appendix A.9), we can write q(t) ≈ Qωtfor times |t| ≪ 1/ω. What is the slope of the graph of q(t) at t = 0? This is equal to the current at t = 0, which is the peak current I. (As a general statement, the maximum rate of change of any sinusoidal function of time is ω times the amplitude.)