The oscillating current in an electrical circuit is where I is measured in amperes and t is measured in seconds.Find the average current for the time interval .Round your answer to three decimal places.
A)1.691 amps
B)0.691 amps
C)1.382 amps
D)2.765 amps
E)2.382 amps

Question

The oscillating current in an electrical circuit is  where I is measured in amperes and t is measured in seconds.Find the average current for the time interval  .Round your answer to three decimal places. ​
A)1.691 amps 
B)0.691 amps 
C)1.382 amps 
D)2.765 amps 
E)2.382 amps

Quizplus · Accepted Answer

To find the average current, we need to find the definite integral of the function over the given time interval, and then divide by the length of the interval. So, we have:

Average current = (1/π)∫(π/4)^(3π/4) 11cos(4t) dt
                  = (11/π) [sin(4t)]_(π/4)^(3π/4)
                  = (11/π) [sin(3π) - sin(π/4)]
                  = (11/π) [-sin(π/4)]   [since sin(3π) = 0]
                  ≈ 1.382 amps (rounded to 3 decimal places)

Therefore, the best choice is C.

The Oscillating Current in an Electrical Circuit Is Where