How can we visualize the lag between voltage and current in capacitor or inductor? i.e. When voltage goes down Current goes up...
if you live near a place where you can watch the tides flow between a narrow sea path to fill and empty a (parltly) enclosed path you can see it happening: the strongest flow occurs halfway between high and low, at the high and low momenst the flow is almost zero.

A bit less pronounced is the temperature cycle. The hottest part of the day (measured by the air temperature, not by the temperature of a sun-exposed surface) is not a 12:00 when the heat from the sun is at its maximum, but somewhat later, when the influx of heat is lower, but more heat has accumulated.

The key point in both cases (and in the AC current + capacitor case) is storage: the maximum amount stored (heat, water, charge, ...) occurs after the maximum influx, because it is the sum of all previous influx, hence as long as the influx is positive the amount stored still rises. The maximum occurs when the influx reaches zero, after that the amount stored lowers because the influx is negative (call it an out-flux if you want).