SOLUTION: The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is gi

Question 733714: The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by
I = 10 sin(100πt)where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle.
I =______ amp
t= ______ sec

Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The maximum value of the Sin function is
so the maximum value of
is
At ,

After 1 cycle, at ,

So, the time to go through 1 cycle is sec

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by
I = 10 sin(100πt)where I is measured in amperes and t is measured in seconds. Find the maximum value of I
Max of the sine function = 1
Max current = 10 amps.
--------------------
and the time it takes for I to go through one complete cycle.
----------------
Cycle time = 2pi/100pi = 0.02 seconds
-------
0.02 seconds --> 50 Hz, used in some countries.
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