The total charge that has accumulated on the positive plate of a capacitor varies with time. The charge follows q=At^2 for the first 4s.
a) Find the value of current at t=2,6,9,12,16 s.
b) Sketch the current i(t) as a function of time
c) What is the total charge that accumulates on the capacitor after 16s?
d) What is the average current between t=0 and t =16s?