Node Method Problem: Identifying Errors

[LongApple]

Homework Statement

Homework Equations

V=IR

The Attempt at a Solution

I believe my a1 and a2 are correct.

But my b1 is definitely wrong. Even if I carry out the above subtraction for the v1 part (which gives you b1) I will not have somethign as simple as R2 + R3 on the numerator

[/B]

Where would be some starting places to pinpoint the error?

 

[LongApple]

I'll try putting in dark blue.

Is this any easier to read?

I cannot change some of the below because some of it is pasted images

 

[haruspex]

You're not supposed to post working as handwritten images. It's hard to read and hard to reference when making comments.
Given the answer for a1, please post your working to obtain b1 in typed text - preferably LaTeX, or using subscripts, but that's not essential.

 

[rude man]

This is a good time to apply the superposition principle.

 

[HalfLostAndSearching]

As a scientist, the first step in identifying errors is to carefully review the equations and calculations used to arrive at the solution. In this case, the homework statement provides the equation V=IR, which is a fundamental equation in electrical circuits. Therefore, it is important to make sure that the equation is being applied correctly and that all variables are properly defined and used in the calculations.

Next, it may be helpful to check the units of all variables to ensure that they are consistent. In this case, V is voltage, I is current, and R is resistance. Therefore, V should be measured in volts, I in amps, and R in ohms. If these units are not consistent, it may indicate a mistake in the calculations.

Another potential starting point is to double check the values of the variables used in the equation. Are they accurate and correctly entered into the equation? It may also be helpful to redraw the circuit diagram and check all connections and components to make sure they are accurately represented in the calculations.

Lastly, it may be beneficial to seek help from a peer or instructor to review the calculations and provide a fresh perspective. Sometimes, a simple mistake can be easily overlooked by the person who made it.

Overall, the key to identifying errors is to carefully review all steps and assumptions made in the solution process. By doing so, it is possible to pinpoint the error and correct it.