Find V1 & V2 with Nodal Voltage Analysis

In summary, to find V1 and V2 using Nodal Analysis, we can define voltages Vx and Vy at nodes 1 and 2. Applying KCL at node 1, we get the equation (Vx-240)/3 + (Vx-Vy)/6 + 10=0. To label Vx at node 2, we can use an arrow pointing towards the lower node as a reference point. This is a suitable approach for labeling Vx.
  • #1
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Homework Statement


Find V1 and V2 by Nodal Analysis

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Homework Equations

The Attempt at a Solution


In order to find V1 and V2, I will have to define voltages at node 1 and node 2 as Vx and Vy, so that when I apply KCL at node 1, I will get:

(Vx-240)/3 + (Vx-Vy)/6 + 10=0

While there is a 30 Ohm resistor at node 2 where I can label the voltage Vy, where should I label the voltage Vx when there is no element? Is this the right way to label the voltage Vx:

Final.png


And if it is the right way, what is the logic?
 
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  • #2
I would draw an arrow and label that, but yes, this is the right approach if you want to reference your Vx to the lower node (a good choice).
 

Related to Find V1 & V2 with Nodal Voltage Analysis

What is Nodal Voltage Analysis?

Nodal Voltage Analysis is a circuit analysis technique that uses Kirchhoff's Current Law (KCL) to determine the unknown voltages at different nodes in a circuit.

Why is Nodal Voltage Analysis important?

Nodal Voltage Analysis is important because it allows us to determine the voltages at different nodes in a circuit, which is essential for understanding how a circuit works and for designing and troubleshooting circuits.

How do you use Nodal Voltage Analysis to find V1 and V2?

To use Nodal Voltage Analysis to find V1 and V2, you first need to label the nodes in the circuit and assign a reference node. Then, write out KCL equations for each node and solve the resulting system of equations to find the unknown voltages.

What are the limitations of Nodal Voltage Analysis?

Nodal Voltage Analysis can only be used for circuits with a single reference node and for circuits that can be represented as a network of nodes and branches. It also assumes that the voltage sources in the circuit are ideal, which may not always be the case in real circuits.

Can Nodal Voltage Analysis be used for AC circuits?

Yes, Nodal Voltage Analysis can be used for AC circuits as long as the circuit is in steady state. However, it becomes more complex when dealing with reactive components such as capacitors and inductors, and additional techniques may be needed.

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