Find V0 Assume ideal op Amp Check your result with SolutionC

Find V_0. Assume ideal op Amp. Check your result with

Considering, R1 = 10 KOhm ; R2 = 20 KOhm ; R3 = 30 KOhm ; R4 = 40 KOhm ; R5 = 100 KOhm ; R6 = 20 KOhm ;

It is possible to calcule the current over R1, R2, R3 and R4.

I1 = 9 V / (R1 + R4) = 9 V / 50 k = 0,18 mA

I2 = 10 V / (R2 + R4) = 10 V / 60 k = 0,167 mA

I3 = 12 V / (R3 + R4) = 12 V / 70 K = 0,171 mA

Considering that the corrent over the ideal amp-op is zero, the corrent over R5 (i5) is given by :

i1+ i2 = i3 + i5

i5 = (0,18 +0,167 -0,171) mA = 0,175 mA

the current over R6 is the same of i5, so V0 = i5* 20k ...

V0 = 3,505 V