I find your schematic very tedious to read with it's meaningless colors, scenic routing, unnecessary whitespace, wire bends, and crossings.Can anyone please help me for derriving the gain formula for Low side current sense circuit which is a differential amplifier used for overcurrent protection for BLDC motor controller?
I intend to limit the currentWelcome to AAC!
I find your schematic very tedious to read with it's meaningless colors, scenic routing, unnecessary whitespace, wire bends, and crossings.
Crop it to the area where you want to insert your current sense. What are you going to do with the "sensed" current? Or do you intend to limit current?
As dl324 noted, yours is a good example of how not to draw an easy-to-read schematic.
If I have to scroll to view the schematic, then it has too much white space, and I stop looking.
Sensing low side-current can be readily done with a single, non-differential amplifier.
What are you exact requirements (circuit voltage, max current, desired output, etc.)?

Read post #9, fifth line, but first, sort out your differential amplifier.This is the same circuit as I sent earlier, please guide me to find out the gain of the differential amplifier.View attachment 308527
Also, this is one of the schematic of a motor controller which I cannot share it and the schematic was not done by me. Sorry to hear that you are not able to read the schematic.View attachment 308526
See, the image attached is same as before, here the input of the differential amplifier is the drop across RS3.
I did not understand, can you explain clearly or provide some reference notes for understanding the same.Read post #9, fifth line, but first, sort out your differential amplifier.
https://en.wikipedia.org/wiki/Differential_amplifier
Starting at “operational amplifier as a differential amplifier”
Can you please tell me which configuration have been used? Is it differentiator because of the presence of capacitor?This is a differential amplifier circuit. Yours doesn‘t look like this.
View attachment 308531If you redraw your circuit with the differential amplifier correct, then the gain is easy.
R1=R2,
Rf=Rg
gain is Rg/R1
It’s not a differentiator at all. You don’t need a differentiator.Can you please tell me which configuration have been used? Is it differentiator because of the presence of capacitor?