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bipolar current source

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Hraesvelg

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Can anyone help me with a formula for the following circuit?
 

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This is probably homework, but I can't resist.

(Vp-Vi)/100k=(Vi-Vo)/100k, so
(1) Vp-Vi=Vi-Vo

Note that, assuming overall negative feedback, which you will have if Rload < infinity, that the op amp's inverting input voltage will equal Vi, the voltage on the noninverting input. Therefore,

(2) Vn-Vi=Vi-Vx

Combining (1) and (2),

Vx=2*Vi-Vn, Vo=2*Vi-Vp

Vx-V0=Vp-Vn=deltaVin

Iout=(Vx-Vo)/R, or

Iout=deltaVin/R

Q.E.D.
 

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