Not really a homework question, but I need your assistance in understanding this practice problem from the book "Applied Circuit Analysis 1e". Every time I solve the problem step by step, I seem to be getting a different answer from the book. The book says the answer for Vo is 2.4V but I keep getting 2.07V as the solution for this circuit.
Here are the steps I used to arrive to my answer.
Like the book demanded I only tried to use mesh analysis to solve this. Anyways, the 2 equations I got from both loops are the following:
Loop 1 = 9i1 - 4i2 = 24
Loop 2 = -4i1 + 12i2 + 6Ix = 0
Now from my understanding, Ix = i1, so, if I plug i1 to the loop 2 equation I get:
-4i1 + 12i2 + 6i1 = 0
2i1 + 12i2 = 0 (Now I subtract both sides by 12i2 which gives me)
2i1 = -12i2 (Divide both sides by 2)
i1 = -6i2 (Now I use this equation and plug it to the loop 1 equation)
9 (-6i2) - 4i2 = 24
-54i2 - 4i2 = 24
-58i2 = 24 (Divide both sides by -58)
i2 = -0.414A
Now that I have i2, to find Vo on this circuit, don't I just have to multiply i2 by the 5 ohm resistor? When I do so, I get 2.07V. (Positive because of voltage polarity)
I been wondering what I'm doing wrong, or what the book is doing right to arrive to that answer. Anyways, any feedback on this problem would be appreciated, thanks
Here are the steps I used to arrive to my answer.
Like the book demanded I only tried to use mesh analysis to solve this. Anyways, the 2 equations I got from both loops are the following:
Loop 1 = 9i1 - 4i2 = 24
Loop 2 = -4i1 + 12i2 + 6Ix = 0
Now from my understanding, Ix = i1, so, if I plug i1 to the loop 2 equation I get:
-4i1 + 12i2 + 6i1 = 0
2i1 + 12i2 = 0 (Now I subtract both sides by 12i2 which gives me)
2i1 = -12i2 (Divide both sides by 2)
i1 = -6i2 (Now I use this equation and plug it to the loop 1 equation)
9 (-6i2) - 4i2 = 24
-54i2 - 4i2 = 24
-58i2 = 24 (Divide both sides by -58)
i2 = -0.414A
Now that I have i2, to find Vo on this circuit, don't I just have to multiply i2 by the 5 ohm resistor? When I do so, I get 2.07V. (Positive because of voltage polarity)
I been wondering what I'm doing wrong, or what the book is doing right to arrive to that answer. Anyways, any feedback on this problem would be appreciated, thanks
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