In the circuit of Fig 128 you are given that Vi 15 025V A

In the circuit of Fig. 12.8, you are given that Vi = 15 ± 0.25V . All resistors have 5% tolerance and their nominal values are R1 = 120?, R2 = 250?, R3 = 820?, R4 = 200?, R5 = 120?, R6 = 1000?, R7 = 600?, R8 = 320? and R9 = 1000?. It is desired that we obtain the supply current is and the voltage across R6 (already labelled as V in Fig. 12.8) in terms of all the resistors and the supply voltage. Use MATLAB to obtain the uncertainty of the aforementioned output parameters. (Hint: Consider using a numerical perturbation scheme to evaluate the partial derivatives. For instance, the forward differencing scheme is given as: ? y = y(x+? x)?y(x) ). ?x ?x

Solution

Rnet = R1//R2//R3 + (R4 +R5) + (R8 + (R6//R7)//R9)