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Physics 18 Online
OpenStudy (anonymous):

anyone here good with circuit analysis? (finding voltage, current, etc)

OpenStudy (shane_b):

You should just post the question...someone here will likely help you with it.

OpenStudy (youngster):

what's the question?

OpenStudy (anonymous):

Yes i am very good with circuit analysis, if u post the question i would be glad to help you out.

OpenStudy (anonymous):

i know the voltage divider equation is Vn = (Rn/Rt)*Vt ... but in the circuit linked below, why does v1 = (5/45)*v0 instead of (40/45)*v0 ? how does one determine which resistor (the 5K or 40K) to use to find v1?? http://imgur.com/CMCcc

OpenStudy (jamesj):

In this ideal OpAmp, v2 must equal vI. Now vI = 5/(40 + 5) . VO, using the voltage divider relationship, because vI must be the potential difference over the 5k resistor. Now you write down VO.

OpenStudy (anonymous):

thanks, but why is V1 the potential difference over the 5k resistor rather than the 40k?

OpenStudy (jamesj):

Because call the current running through that branch of the circuit I. Then VO = I(40k + 5k), or I = VO/(45k) At the bottom of the 5k resistor, we know the voltage potential is zero. Hence the potential at the top of the resistor, v1, is equal to 5k.I. Hence v1 = 5k.I = 5k/45k Make sense?

OpenStudy (jamesj):

**correction: last step, v1 = 5k/45k . VO

OpenStudy (anonymous):

so when i use the voltage divider equation, i should always start at wherever the voltage is 0, then go around the series (in this case, clockwise from ground)?

OpenStudy (jamesj):

That's one way to make sure you get the right answer. But another here is intuition. Suppose the 5k resistor went to 0 Ohms. Then v1 would be zero. So if it's a question of whether it is 40/45 VO or 5/45 VO then it seems clear it must be 5/45 VO

OpenStudy (anonymous):

Ah, i see. I had been trying to follow the direction of the current flow arrows before which here would have me going around the series counter-clockwise. Thank you for helping me! :)

OpenStudy (jamesj):

sure thing

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