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**1. Homework Statement**

$$R=5 \Omega , C =50 \mu F, L=5 mH$$ are connected in series on voltage source $$u(t)=150 \sin (1000t)+100 \sin(2000t)$$. Find the average power on resistor R.

**2. Homework Equations**$$

P=\frac{U^2}{R} $$,

$$ U_{ef}= \sqrt{ \frac{1}{T} \int_{0}^{T} u^2(t) dt } $$

**3. The Attempt at a Solution**

I got that rms of u(t) is 127.48 , and now i am not sure which omega should I use to calculate Xc and XL.

The period of function u(t) is $$2 \pi/1000$$, so that implies I should use $$\omega=1000$$ but I can't get the correct solution. (I don't get correct solution when I use 2000 either). I am obviously doing something , can you help?

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