Hi, I would like to ask if there is a simple way to solve this op amp circuit.
Without involving a lot of math?
My way:
First I write nodal equations for Vx and Vy
For Vx node
(V1 - Vx)/R1 = (Vx - Vo1)/R2 (1)
For Vy
(V2 - Vx)/R3 = (Vx - Vo2)/R4 (2)
Next
Vo1 = (Vy - Vx)*Ao (3)
Vo2 = (Vx - Vy)*Ao (4)
Next I substitute Vo1 and Vo2 into 1 and 2 and solve for Vx and Vy.
Then I use 3 and 4 to find Vo1 and Vo2 for Ao--->00
\(Vo1 = \frac {(R1 + R2) R4 V2 - R2 (R3 + R4) V1}{R2 R3 + R1 (2 R3 + R4)}\)
\(Vo2 = \frac { R2 (R3 + R4) V1 - (R1 + R2) R4 V2 }{R2 R3 + R1 (2 R3 + R4)}\)
Dose anyone knows a simpler way?
Without involving a lot of math?
My way:
First I write nodal equations for Vx and Vy
For Vx node
(V1 - Vx)/R1 = (Vx - Vo1)/R2 (1)
For Vy
(V2 - Vx)/R3 = (Vx - Vo2)/R4 (2)
Next
Vo1 = (Vy - Vx)*Ao (3)
Vo2 = (Vx - Vy)*Ao (4)
Next I substitute Vo1 and Vo2 into 1 and 2 and solve for Vx and Vy.
Then I use 3 and 4 to find Vo1 and Vo2 for Ao--->00
\(Vo1 = \frac {(R1 + R2) R4 V2 - R2 (R3 + R4) V1}{R2 R3 + R1 (2 R3 + R4)}\)
\(Vo2 = \frac { R2 (R3 + R4) V1 - (R1 + R2) R4 V2 }{R2 R3 + R1 (2 R3 + R4)}\)
Dose anyone knows a simpler way?