Equation transposition I am struggling to see how an equation has been transposed. It is probably pretty easy, so apologies in advance. If possible; please show the transposition stages: V_(out)=V1.(R2)/(R1 + R2} ((R3 + R4)/(R3))-V2 .(R4)/(R3) this is then transposed to..... V_(out)=(V1 - V2)(R4)/(R3)

musicintimeln

musicintimeln

Answered question

2022-08-10

Equation transposition
I am struggling to see how an equation has been transposed. It is probably pretty easy, so apologies in advance.
If possible; please show the transposition stages:
V o u t = V 1 . R 2 R 1 + R 2 ( R 3 + R 4 R 3 ) V 2 . R 4 R 3
this is then transposed to.....
V o u t = ( V 1 V 2 ) R 4 R 3

Answer & Explanation

Angel Burton

Angel Burton

Beginner2022-08-11Added 12 answers

Without further conditions relating R 1 , R 2 , R 3 , R 4 to one another, these two equations are not equivalent.
EDIT: You say that R 1 = R 3 and R 2 = R 4 . In that case,
V 1 ( R 2 R 1 + R 2 ) ( R 3 + R 4 R 3 ) V 2 . R 4 R 3 = V 1 ( R 4 R 3 + R 4 ) ( R 3 + R 4 R 3 ) V 2 R 4 R 3 = V 1 R 4 R 3 V 2 R 4 R 3 = ( V 1 V 2 ) R 4 R 3

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