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eehelp150
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Homework Statement
Find Vo
Homework Equations
KVL, KCL
The Attempt at a Solution
Mesh equations:
-24 + I1(2-j)-I2(1.5j)=0
I2(6+4j)+10<30degrees-I1(1.5j)=0
I1=8.69541+3.59557j
I2=-1.00284+2.00908j
How would I find Vo?
What's the potential difference across the output terminals comprised of?eehelp150 said:How would I find Vo?
The 2 ohm resistor and 10<30V source?gneill said: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?eehelp150 said:The 2 ohm resistor and 10<30V source?
I2*2gneill said:Yes. 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.eehelp150 said:I2*2
-2.00568 + j4.01816
Would it be V(2ohm) + 10<30?gneill said: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?eehelp150 said:Would it be V(2ohm) + 10<30?
Are there any ways of verifying that the answer is correct?gneill said: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.eehelp150 said:Are there any ways of verifying that the answer is correct?
So I2*(-j2+4j) would NOT give the voltage of Vo?gneill said: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?eehelp150 said:So I2*(-j2+4j) would NOT give the voltage of Vo?
From the examples I did in nodal analysis.gneill said: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.eehelp150 said: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)gneill said: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.eehelp150 said: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:gneill said: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.
A transformer is an electrical device that is used to transfer electrical energy between two or more circuits through electromagnetic induction. It is commonly used to step up or step down the voltage level in an electrical system.
Voltage in a transformer circuit can be measured using a multimeter. The multimeter is connected to the input and output terminals of the transformer, and the voltage reading is taken.
The voltage in a transformer is affected by the number of turns in the primary and secondary coils, the input voltage, and the core material used in the transformer. Additionally, the voltage can also be affected by external factors such as temperature and load.
The voltage ratio in a transformer can be calculated by dividing the number of turns in the secondary coil by the number of turns in the primary coil. For example, if a transformer has 100 turns in the primary coil and 50 turns in the secondary coil, the voltage ratio would be 50/100 or 0.5.
The two types of voltage in a transformer are primary voltage, which is the input voltage, and secondary voltage, which is the output voltage. The ratio between these two voltages is determined by the transformer's design and can be used to step up or step down the voltage level.