A capacitor (capacitance = C) is connected to an ac power supply with peak voltage V and

Question:

A capacitor (capacitance = C) is connected to an ac power supply with peak voltage V and angular frequency w.
(a) During a quarter cycle when the capacitor goes from being uncharged to fully charged, what is the average current (in terms of C, V, and w)?
(b) What is the rms current?
(c) Explain why the average and rms currents are not the same.