I with this circuit -- 2 resistors and 2 sources....

[edgarpokemon]

Homework Statement

The problem is in this link

https://www.chegg.com/homework-help/find-vo-io-circuit-fig-226figure-226-chapter-2-problem-7pp-solution-9780078028229-exc

Homework Equations

3. The Attempt at a Solution
[/B]
15=[io/3]+[io/3]+ [vo/12]

I got this equation for the problem. Since the voltages of both resistors are in parallel, the both are equal. So for the first resistor from left to right... v1=[2/3]io but also v1=v0. So i replace vo with v1 in my equation, but i don't get the answers that i am suppose to get, which are 20V and 10 amps. It asks to find v0 and i0. I asked in other website and both said they did nkt get 20 or 10 neither. Help!

 

[phyzguy]

Did you notice that the two pictures you linked are different? The top picture has i0/3 in the 2 Ohm resistor and the bottom picture has i0. Which is the correct problem?

 

[edgarpokemon]

Did you notice that the two pictures you linked are different? The top picture has i0/3 in the 2 Ohm resistor and the bottom picture has i0. Which is the correct problem?

Oh sorry, the first problem from the top is the correct one. The one in color

 

[phyzguy]

Oh sorry, the first problem from the top is the correct one. The one in color

Are you sure? The lower one is consistent with your 10Amp/20V answer. The upper one is not.

 

[edgarpokemon]

Are you sure? The lower one is consistent with your 10Amp/20V answer. The upper one is not.

Yes i am sure, the one in color is the one that i have on my book. I already spent 3 4 hours on that problem because i can't get those answers so i am sure that's the one haha

 

[phyzguy]

Yes i am sure, the one in color is the one that i have on my book. I already spent 3 4 hours on that problem because i can't get those answers so i am sure that's the one haha

Well, the answer to the one in color is most definitely not 10 A / 20 V.

 

[edgarpokemon]

Well, the answer to the one in color is most definitely not 10 A / 20 V.

Thank you. So is the equation that i got correct? Is vo also equal to 2io/12?

 

[phyzguy]

Thank you. So is the equation that i got correct? Is vo also equal to 2io/12?

No. Since the 2 Ohm resistor and the 12 Ohm resistor are in parallel, they have the same potential (v0) across them. So if the 2 Ohm resistor has a potential of v0 across it, and a current of i0/3 is flowing through it, then by Ohm's law v0 = 2*i0/3. How did you get v0 = 2*i0/12?

 

[gneill]

I strongly suspect that the $\frac{i_o}{3}$ current label on the $2 \;\Omega$ resistor is a typo. Pretty sure it would make more sense if it was just $i_o$.

 

[edgarpokemon]

I strongly suspect that the $\frac{i_o}{3}$ current label on the $2 \;\Omega$ resistor is a typo. Pretty sure it would make more sense if it was just $i_o$.

Thank you!