Average Value and RMS Value of Voltage and Currents?

Thread Starter


Joined Mar 23, 2014
The book we use in class uses very basic examples and my professor loves to just give us little twists and make our lives a living nightmare. (A joke but he does this a lot and it gets real annoying).

I have v(t) = -4 + 3sin(2t + 35) + 2 cos(3.14t +10) + 2cos(2t -64)V

I want to know the RMS value and the average value.

My first logical answer for average value was -4, because the integration of any sinusoid over a period is 0.

For my RMS value, I divide the amplitude of every sinusoid by the SQRT(2) then I square them while also squaring the (-4). I now sum all those values and take the SQRT of the sum to find my Vrms. Which is 4.97.. Volts.

I need confirmation if this is right or just absolutely incorrect. If the latter I would love some guidance.