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I have finally figured out how to calculate the voltage of unbalanced loaded bridge circuit!!

little boy
in Physics

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Copyofcircuit.jpg

 

w=R1, x=R2, y=R3, R4=z, s=R5, v=voltage of cell, a=voltage of point A, b=voltage of point B, then,

 

a.jpg

Inputting"a-(a-s*((v-a)/w-a/x))=s*((a-s*((v-a)/w-a/x))/z-(v-(a-s*((v-a)/w-a/x)))/y), solve a" on wolframalpha, then a is found

 

b.jpg

 

Inputting"(s*(b/z-(v-b)/y)+b)-b=s*((v-(s*(b/z-(v-b)/y)+b))/w-(s*(b/z-(v-b)/y)+b)/x), solve b"on wolframalpha, then b is found

 

 

It is certainly correct as I have tested it many times.

I had been calculating it for about 6 hours.(so crazy..... :blink:)

Edited by little boy

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