Can someone please explain the solution to a nodal analysis problem to me?

In summary, the conversation is about a problem involving nodal analysis and using the equation V=IR to solve it. The person asking for help is struggling to get from the nodal equations to the next step and someone suggests solving for one variable and substituting it into the other equation. The person asking for help is also struggling with solving two equations simultaneously.
  • #1
naivy
40
0

Homework Statement



4wzrz.png


Homework Equations



V=IR, Nodal Analysis

The Attempt at a Solution



1 and 2 in the diagram are the nodal equations. Considering that the left node is V1 and that the right node is V2. I don't know how to get from the nodal equations to step 3. I know that you go from step 3 to step 4 using V=IR.

I tried solving the nodal equations to get to step 3...

Can someone please work it out for me? Thank you

Please help
 
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  • #2
naivy said:

Homework Statement



4wzrz.png


Homework Equations



V=IR, Nodal Analysis

The Attempt at a Solution



1 and 2 in the diagram are the nodal equations. Considering that the left node is V1 and that the right node is V2. I don't know how to get from the nodal equations to step 3. I know that you go from step 3 to step 4 using V=IR.

I tried solving the nodal equations to get to step 3...

Can someone please work it out for me? Thank you

Please help

You write Ix in terms of V1 and the resistance that Ix flows through, and substitute that into the 2nd equation. Then just solve the 1st and 2nd equations simultaneously for V2.

Does that help? Or are you having trouble with the mechanics of solving equations 1 & 2 simultaneously?
 

FAQ: Can someone please explain the solution to a nodal analysis problem to me?

What is nodal analysis?

Nodal analysis is a method for solving electrical circuits by analyzing the currents and voltages at each node, or connection point, in the circuit.

How do you set up a nodal analysis problem?

To set up a nodal analysis problem, you need to identify all the nodes in the circuit and label them with a unique variable. Then, you need to write equations for each node using Kirchoff's Current Law (KCL) to account for the currents entering and leaving the node.

What is Kirchoff's Current Law (KCL)?

Kirchoff's Current Law states that the sum of the currents entering and leaving a node must be equal to zero. This law helps to write equations for each node in a nodal analysis problem.

How do you solve a nodal analysis problem?

To solve a nodal analysis problem, you need to set up a system of equations using KCL for each node. Then, you can use techniques such as substitution or elimination to solve for the unknown variables. Finally, you can use the values of the variables to calculate the currents and voltages in the circuit.

What are some common mistakes to avoid in nodal analysis?

Some common mistakes to avoid in nodal analysis include not properly identifying the nodes in the circuit, not correctly applying KCL, and forgetting to include all the necessary equations for each node. It is also important to double check your calculations and ensure they are consistent with the laws of physics.

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