op amp circuit help

Thread Starter

kaznov

Joined Mar 10, 2012
30
Hi guys
for this circuit is't V0 due to V1 is just the non inverting circuit which is
V0 = ( 1+ R4/R3) * V1 !! Becasue that's wht it seems like but my teacher told me that Vo due to V1 is just zero !!!
any explanation please
thanks
 

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panic mode

Joined Oct 10, 2011
2,736
opamp will do everything it can to ensure voltage difference at it's inputs is zero.

since inputs are high impedance, there i no current in or out of inputs.
using voltage divider we can write:

Vin(-) = Vo*R3/(R3+R4)

Vin(+) = Vin(-) = Vin

(Vo-Vin)/R2 = (Vin - V1)/R1

because current through R1 and R2 is same (recall - high impedance input of opamp).

then use algebraic manipulation to get Vo as function of V1 (input voltage)
should be something like this:
[Vo-Vo*R3/(R3+R4)]/R2=[Vo*R3/(R3+R4) - V1]/R1
[Vo-Vo*R3/(R3+R4)]/R2-Vo*R3/[R1(R3+R4)] = - V1/R1
Vo{1-R3/[R2(R3+R4)]- R3/[R1(R3+R4)} = - V1/R1
Vo = - (V1/R1)/{1-R3/[R2(R3+R4)]- R3/[R1(R3+R4)]}

and then (after you get correct expression that looks something like previous line) you can play with it. for example you can calculate what happens when V1=0 or when all resistors are same etc.
 

Wendy

Joined Mar 24, 2008
23,421
Not me, but I have written other parts of the book.

At the moment the editor is in absentia. I do expect him to eventually return though.
 
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