you a viewing a read out on an oscilloscope that shows you when different voltages in a circuit maximize. If the period of the circuit is 0.04 seconds, how much time is there between when the capacitor voltage maximizes and the inductor voltage maximizes ?

there is 0.02 sec between when the capacitor voltage maximizes and the inductor voltage maximizes

Explanation:

Given that time period T = 0.04 sec

Now as the voltage across inductor maximizes, voltage across the capacitor minimizes and vice - versa;

Now, between capacitor maximizing and Inductor maximizing, there is a time of T/2

i.e t = T/2

so from our question; Time period is 0.04sec

now

t = 0.04 / 2

t = 0.02 sec  

Therefore there is 0.02 sec between when the capacitor voltage maximizes and the inductor voltage maximizes

scientific laws are the result of testing theories and proving them to be facts.