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## Homework Statement

We have the circuit in the figure.I have to find the average power consumed by all the elements and the source.

## Homework Equations

P=0.5*(I^2)*R

P=-VmImcosθ/2

## The Attempt at a Solution

The inductor consumes zero inductive power.

I apply nodal analysis at node Vo

We have (6-Vo)/3=Vo/6

Vo=4

Here I find that I1=(6-4)/3=2/3

So the average power dissipated by 3 ohm

P=0.5*(4/9)*3=2/3 W

Current through 6 ohm is Vo/6=4/6

P=0.5*(16/36)*6=4/3..problem is ,in my book power dissipated by 6 ohm is 10/3...

Now,the power consumed by the source is

P=P=-(2/3)(6)cos0/2=-2 W...but the result in my book is -4W

Where is my mistake?