(\large The Waveform shown in figure has a period of 10s
a) What is the average value of the current in one period?
b)How much charge is transferred in the interval 1

Question

(\large The Waveform shown in figure has a period of 10s
a) What is the average value of the current in one period?
b)How much charge is transferred in the interval 1<t<12
c)if q(0) = 0 sketch q(t) for interval  0<t<16 s

The diagram is shown below in comments\)

anonymous · Answer

|dw:1353639054509:dw|
Please explain the concept so that I can reach the answer

anonymous · Answer

I know how to find a) & b)... but having  a little bit of struggle in drawing the graph

anonymous · Answer

Hi, I have tried to plot the I(t)  vs q(t) curve Please find the attachment.. I have used the formula i=dq/dt in reverse order, i thing it will make some sense  
i.e.
$$q(t)=\int\limits_{0}^{t}i(t) dt$$
i(t) = -4U(t)+6U(t-2)+4U(t-4)-6U(t-6)
q(t) = -4t+2(t-2)+4(t-4)-4(t-6) 
(I have calculated the q(t) piece wise). Here we can observe that the ‘q(t)’ curve was become unbounded when time increases this is because of the original i(t), periodic signal has more positive area  than  its negative area. 
Hope this might be helpful for you. 

KTV