In many texts and tutorials the ripple voltage(|AX| in above figure) which is
deltaV = I / (2*f*C)
I think it comes from the fact that
C * dV/dt = I so deltaV = (I/C) * delta_t;
and according to texts since delta_t is T/2 = 1/2*f
then deltaV = I/(2 * f* C) where I is the load current.
I can understand that derivation but if you look at my image above, according to this equation the real delta_t is not T/2 but instead less than that. Hence the ripple is |AX| not |YC|. But the tutorials take delta_t as T/2 where it starts from the point A to point C. But actually delta_t starts at point A and ends at point B.
Im confused at this point. What is the real ripple Voltage here?