What's the potential difference across the output terminals comprised of?How would I find Vo?
The 2 ohm resistor and 10<30V source?What's the potential difference across the output terminals comprised of?
Yes. You know one of those (the voltage source). What's the potential difference across the resistor?The 2 ohm resistor and 10<30V source?
I2*2Yes. You know one of those (the voltage source). What's the potential difference across the resistor?
Okay. So you now know every potential change from the - terminal to the + terminal of Vo.I2*2
-2.00568 + j4.01816
Would it be V(2ohm) + 10<30?Okay. So you now know every potential change from the - terminal to the + terminal of Vo.
Yes, clearly it must be. You have learned about KVL and the summing of potential changes along a path between nodes, yes?Would it be V(2ohm) + 10<30?
Are there any ways of verifying that the answer is correct?Yes, clearly it must be. You have learned about KVL and the summing of potential changes along a path between nodes, yes?
You could try to find a different solution method and confirm that you obtain the same results, although the loop current method that you've used is probably the most straight forward method and others might be more tricky to apply. Or you might use a circuit simulator to simulate the circuit. But there you'd need some experience dealing with transformers in a simulator.Are there any ways of verifying that the answer is correct?
So I2*(-j2+4j) would NOT give the voltage of Vo?You could try to find a different solution method and confirm that you obtain the same results, although the loop current method that you've used is probably the most straight forward method and others might be more tricky to apply. Or you might use a circuit simulator to simulate the circuit. But there you'd need some experience dealing with transformers in a simulator.
For this problem I'd just go over the math and make sure it all looks good. Maybe do the problem again from scratch and make sure everything matches at the end. The critical part is obtaining the current in the second loop.
What is your reasoning for thinking it would?So I2*(-j2+4j) would NOT give the voltage of Vo?
From the examples I did in nodal analysis.What is your reasoning for thinking it would?
You'd have to show the details of how you arrived at the particular value. I can't tell what you did by looking at a result only.From the examples I did in nodal analysis.
Yes, in general if you change the polarity of a source it changes its sign in any KVL sum.If the voltage source was backwards (- on top, + on bottom), Vo would be V(2ohm)-10<30, right?
I assumed Vo was the voltage at node B (your picture) which is: V(2ohm) + 10<30 OR I2*(-2j+4j)You'd have to show the details of how you arrived at the particular value. I can't tell what you did by looking at a result only.
Yes, in general if you change the polarity of a source it changes its sign in any KVL sum.
What you're doing in this instance is determining all the potential drops across the components along a path between two points where you wish to know their potential difference. The two points in question are where Vo is shown to be on your circuit. A handy path for that passes through the 10 V source and a 2 Ohm resistor.
So first you find the potential drop across the 2 Ohm resistor (the 10 V source is trivial). To do that you use the current flowing through the resistor. Pencil in the potential change polarity for that resistor on your circuit using your chosen direction for that current:
View attachment 108873
##i_2## flows through that resistor from top to bottom, hence the +...- indication as shown. Then do your "KVL walk" along the path (indicated by the red arrow from a to b), summing the potential changes as they are encountered.
Yes, it's the potential at node b with respect to node a. I don't understand where I2*(-2j+4j) comes from; I don't see a path from a to b where that would be true.I assumed Vo was the voltage at node B (your picture) which is: V(2ohm) + 10<30 OR I2*(-2j+4j)
This is what I thought:Yes, it's the potential at node b with respect to node a. I don't understand where I2*(-2j+4j) comes from; I don't see a path from a to b where that would be true.