The potential drop across R1 due to supply voltage Vs,
 |
(2.7.6) |
Similarly,
 |
(2.7.7) |
Thus the output voltage V0 is given by,
 |
(2.7.8) |
 |
(2.7.9) |
When V0 = 0, above equation gives balanced condition.
Assume that a transducer produces a resistance change from R1 to R1 + δ R1 which gives a change in output from V0 + δ V0,
From equation 2.7.9 we can write,
 |
(2.7.10) |
Hence,
 |
(2.7.11) |
If δR1 is much smaller than R1 the equation 2.7.11 can be written as
 |
(2.7.12) |
We can say that change in resistance R1 produces a change in output voltage. Thus we can convert a change in resistance signal into voltage signal.