How Did They Derive the Equation Using Kirchhoff's Voltage Law?

[k31453]

Homework Statement

I am following book and they got this equation but i don't know how they got it ??

Homework Equations

The Attempt at a Solution

I know they use kirchhoffs voltage law but at which point they are choosing and how they are going and acquire this equation.?

 

[Simon Bridge]

You don't apply the voltage law at a point - you apply it to a loop.
They tell you which loop they applied it to - the one containing R4 and R3.

Redraw the circuit diagram so the loop containing R4 and R3 looks like a loop and do the mesh analysis - don't forget to appropriately model the op-amp.

 

[Chopin]

Hint: Remember that all ground symbols are connected to each other.

 

[CWatters]

I find it helps by writing a KVL sum so it adds to zero. Then rearrage it. Don't start by writing "Vo = "

eg start with an equation of the form...

(v1) + (v2) + (v3)... = 0

Remembering that v1,v2, or v3... might be negative depending on which direction is defined as positive current.

 

[rezeew]

It is important to understand that in science, equations are often derived from a combination of theoretical principles and experimental data. In the case of the equation you are referring to, it is likely that the authors of the book used a combination of Kirchhoff's voltage law and other theoretical concepts to derive the equation. They may have also used experimental data to validate their results. It is important to carefully study and understand the steps they took to arrive at the equation, and if you have any questions, it is always a good idea to consult with a teacher or mentor for clarification. Scientific knowledge is constantly evolving and it is important to question and understand the foundations of any equation or concept.