Find V_0 in the circuit (6 elements)

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The discussion revolves around calculating V_0 in a circuit using conservation of energy principles. The power contributions from various circuit elements are summed, leading to the equation 3V_0 = 54W, resulting in V_0 = 18V. Participants clarify that V_0 should be expressed in volts, not watts, correcting a minor unit error. Overall, the calculations are deemed correct aside from the unit confusion. The thread concludes with an acknowledgment of the appropriate forum for such homework questions.
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http://img68.imageshack.us/img68/51/problem120ha2.jpg

Use conservation of energy to solve for V_0.

P_1\,=\,(30V)\,(-6A)\,=\,-180W
P_2\,=\,(12V)\,(6A)\,=\,72W
P_3\,=\,(V_0)\,(3A)\,=\,(3V_0)W
P_4\,=\,(28V)\,(2A)\,=\,56W
P_5\,=\,(28V)\,(1A)\,=\,28W
P_6\,=\,(10V)\,(-3A)\,=\,-30W

\sum\,p\,=\,p_1\,+\,p_2\,+\,p_3\,+\,p_4\,+\,p_5\,+\,p_6

\sum\,p\,=\,(-180W)\,+\,(72W)\,+\,[(3V_0)W]\,+\,(56W)\,+\,(28W)\,+\,(-30W)

3V_0\,=\,54W

V_0\,=\,18\,V

Does this look right?
 
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Looks okay until the last step (units).

EDIT -- BTW, this belongs in the homework forums, not the general forums.
 
Do you mean the summation of the p's? I don't see a unit error, could you point it out please:)

I didn't see the "Engineering" Forum over at Homework help section, but now I found it, thanks for the heads up!
 
VinnyCee said:
Do you mean the summation of the p's? I don't see a unit error, could you point it out please:)
Vo should not have units of watts. Just a small typo.
 
OIC, thank you!

V_0 should have units of Volts!

Other than that, the problem looks OK?

I will post other problems in the homework section, thanks for the help!
 
it is right if you are taking (3v) as a combination volt*amp. as previously u have takev 3*vo as power. so it looks right to me.
 

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