Find V_0 in the circuit (6 elements)

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Discussion Overview

The discussion revolves around solving for the voltage \( V_0 \) in a circuit with six elements using conservation of energy principles. Participants analyze the power calculations associated with each element in the circuit.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant calculates the total power in the circuit and derives \( V_0 = 18V \) based on their summation of power contributions.
  • Another participant questions the final step of the calculation, suggesting there may be a unit error, specifically regarding the units of \( V_0 \).
  • Further replies clarify that \( V_0 \) should indeed have units of Volts, not Watts, indicating a potential typo in the original post.
  • One participant agrees with the original calculation if \( 3V_0 \) is interpreted as a power term, suggesting that the reasoning is sound under that assumption.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the unit interpretation for \( V_0 \). While some agree with the calculation, others point out a potential unit error, leading to an unresolved discussion regarding the final interpretation of the results.

Contextual Notes

There is a lack of clarity regarding the assumptions made in the power calculations and the interpretation of units, which remains unresolved. The discussion also highlights the importance of proper unit representation in electrical calculations.

Who May Find This Useful

This discussion may be useful for students working on circuit analysis, particularly those interested in power calculations and the application of conservation of energy in electrical circuits.

VinnyCee
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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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