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) 1.637 amps
B) 0.637 amps
C) 1.273 amps
D) 2.546 amps
E) 2.273 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) 1.637 amps 
B) 0.637 amps 
C) 1.273 amps 
D) 2.546 amps 
E) 2.273 amps

Quizplus · Accepted Answer

To find the average current over the time interval, we need to use the formula:

Avg I = (1/T) ∫ I dt

where T is the length of the time interval.

Using this formula, we get:

Avg I = (1/(2π)) ∫(0.15π to 0.55π) 11sin(5t) dt

Avg I = (1/(2π))[-(11/5)cos(5t)](0.15π to 0.55π)

Avg I = (1/(2π))[(11/5)(cos(0.15π) - cos(0.55π))]

Avg I = 1.273 amps (rounded to three decimal places)

Therefore, the best choice is C.

The Oscillating Current in an Electrical Circuit Is Where