Question

The voltage signal from a standard European wall socket can be described by the equation V(t)=325sin100 pi x ,
where t is time, in seconds and V is the voltage at time, t.


Find the max and min voltage levels and the times at which they occur.

Thanks in advance!

Answer 1

clearly the max and mins are 325 and -325 just knowing what the graph looks like.
The period of sin(100πx) is 2π/(100π) = 1/50 sec
knowing that the max of a sine curve happens at the quarter period and the min happens at the 3/4 period

the max of 325volts occurs at 1/200 sec and the min of -325 occurs at 3/200 sec