# Use voltage nodal analysis to solve for the current flowing in this AC circuit

• Engineering
• fantis3
In summary, the conversation is about a person seeking help with their homework on nodal analysis for DC circuits. They are stuck and need guidance on identifying nodes and finding voltages using a specific formula. They also mention having attached a circuit diagram.
fantis3
Homework Statement
Use a voltage nodal analysis to solve the current I flowing in the AC circuit
below. Draw the circuit with assumed nodes and write down the nodal
equations. Draw the phasor diagram and show the position of the current in the
diagram with reference to the voltage 100V
Relevant Equations
I=V/R
Hi first time using this forum, I have some homework that I am entirely stuck on, can anyone help me with this question? I understand the placement of nodes, and that I need to convert complex numbers, but apart from that I have no idea what direction that I'm supposed to take in this. I don't expect an answer to any of the questions, I'd just appreciate a push in the right direction if anyone can help. I've also attached a drawing of the circuit diagram below

#### Attachments

• 20221116_160242.jpg
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You need to identify all the nodes, choose the ground node (0V point) and write the voltages of the nodes w.r.t the ground node.

Have you done any nodal analysis problems for dc circuits before?

At first you have to find the potential Vn of the star neutral using formula Vn=(V1*Y1+V2*Y2+V3*Y3)/(Y1+Y2+Y3) and then I1=(V1-VN)/Z1 and so on.

## 1. What is voltage nodal analysis?

Voltage nodal analysis is a method used to solve for the current flowing in an AC circuit. It involves analyzing the voltage at each node (connection point) in the circuit and using Kirchhoff's current law to determine the current flowing through each branch.

## 2. How is voltage nodal analysis different from other circuit analysis methods?

Unlike other methods, such as mesh analysis, voltage nodal analysis does not require the circuit to be divided into loops. Instead, it focuses on the voltage at each node and the current flowing through each branch, making it a more straightforward approach for complex circuits.

## 3. What information do I need to perform voltage nodal analysis?

To perform voltage nodal analysis, you will need the circuit diagram, the values of all components (resistors, capacitors, etc.), and the frequency of the AC source.

## 4. Can voltage nodal analysis be used for both AC and DC circuits?

Yes, voltage nodal analysis can be used for both AC and DC circuits. However, it is most commonly used for AC circuits, as it takes into account the frequency of the AC source.

## 5. Are there any limitations to using voltage nodal analysis?

One limitation of voltage nodal analysis is that it becomes more complex as the number of nodes in the circuit increases. It may also become more challenging to solve for the current if there are non-linear components, such as diodes, in the circuit.

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