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Homework Statement
Homework Equations
[tex]Vp=Vn[/tex]
[tex]Ip=In=0[/tex]
The Attempt at a Solution
By voltage division:
[tex]Vp = 8/(8+8) V3[/tex]
[tex]Vp = 1/2V3[/tex]
[tex]Vn = 1/2V3[/tex]
By node-voltage method at the inverting input terminal:
[tex](Vn-V1)/4 + (Vn-V2)/4 + (Vn- V0)/8 = 0[/tex]
Multiply equation by 8
[tex]2(Vn-V1) + 2(Vn-V2) + Vn-V0 = 0[/tex]
[tex]V0 = Vn+2Vn-2V1+2Vn-2V2[/tex]
[tex]V0 = 5Vn-2V1-2V2[/tex]
Substitute in 1/2V3 for Vn
[tex]V0 = 5/2V3-2V1-2V2[/tex]
Is this the correct answer? I'm pretty sure about the V1 and V2 part, because it matches the summing amplifier circuit equation of -(Rf/R1*V1+Rf/R2*V2). However, for V3, I don't see how its resistor composition would yield an answer of 5/2. Could someone clarify?
Thanks
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