Average value of current with both AC and DC component

[Jesinth]

Consider a current is made up of both AC and DC component. It has 10 A DC and a sinusoidal peak value of 1.414 A.

What is the average value of the resultant current?

The Choices are

a) Zero
b) 24.14 A
c) 10 A
d) 14.14 A

Could someone help on this? Thank You.

 

[MrAl]

Hi,

Average value is the integral over time divided by the time period. This wave is sqrt(2)*sin(w*t)+10 amps. Taking the average yields 10 amps.
More intuitively, the average value of a sine wave is zero, so it neither adds nor subtracts from the constant DC component.
Note the rms value would be different.

 

[Jesinth]

Thank you MrAl. Your answer helped.