R
RadioJ
Guest
Maybe, those students have a lot of material thrown at them in a short
time. I've met both techs and engineers out of school who either "get"
op-amp theory or not... it's really just common sense on the basics. For
me, it was one practical app (and it was in a job interview that I
flunked) to cause me to get my a$$ in gear and figure it out for good.
Haven't done this stuff in while (used to do elect design but no BSEE..
just an "almost" AS in EET), and was sick/bored today, so here's some
bloated math... are you giving your potential candidates a couple of
hours to give the answer in terms of the resistors?
For the over-all load on VDC:
Req = (R1 + R2) / (1 + (R1 / R3))
For just the output network:
Req = ((R1 + R2) * R3) / R1
---------------------------------
Proof-
Since non-inverting input and VR3 will be at the same voltage:
VR3 = (R1 * VDC) / (R1 + R2)
Solving for VDC:
VDC = (VR3 * (R1 + R2)) / R1
......
IR3 = VR3 / R3
Resistance just for the output side, since current through JFET and R3
are same:
Rout = VDC / IR3
Substituting from above:
Rout = ((VR3 * (R1 + R2)) / R1) / (VR3 / R3)
Rout = ((R1 + R2) * R3) / R1
Check:
Rout = ((1k + 3k) * 40) / 1k = 160 ohms
Considering the input network, Rin:
Rin = R1 + R2
For overall load, using conductance, easier to calculate parallel:
Geq = (1 / Rout) + (1 / Rin)
Geq = (R1 / ((R1 + R2) * R3)) + (1 / (R1 + R2))
Geq = 1 / ((1 / (R1 + R2)) * (1 + (R1 / R3)))
Req = 1 / Geq
Req = (R1 + R2) / (1 + (R1 / R3))
Check:
Req = (1k + 3k) / (1 + (1k / 40))
Req = 153.85
----------------------
On 10/22/2010 10:59 PM, RosemontCrest wrote:
time. I've met both techs and engineers out of school who either "get"
op-amp theory or not... it's really just common sense on the basics. For
me, it was one practical app (and it was in a job interview that I
flunked) to cause me to get my a$$ in gear and figure it out for good.
Haven't done this stuff in while (used to do elect design but no BSEE..
just an "almost" AS in EET), and was sick/bored today, so here's some
bloated math... are you giving your potential candidates a couple of
hours to give the answer in terms of the resistors?
For the over-all load on VDC:
Req = (R1 + R2) / (1 + (R1 / R3))
For just the output network:
Req = ((R1 + R2) * R3) / R1
---------------------------------
Proof-
Since non-inverting input and VR3 will be at the same voltage:
VR3 = (R1 * VDC) / (R1 + R2)
Solving for VDC:
VDC = (VR3 * (R1 + R2)) / R1
......
IR3 = VR3 / R3
Resistance just for the output side, since current through JFET and R3
are same:
Rout = VDC / IR3
Substituting from above:
Rout = ((VR3 * (R1 + R2)) / R1) / (VR3 / R3)
Rout = ((R1 + R2) * R3) / R1
Check:
Rout = ((1k + 3k) * 40) / 1k = 160 ohms
Considering the input network, Rin:
Rin = R1 + R2
For overall load, using conductance, easier to calculate parallel:
Geq = (1 / Rout) + (1 / Rin)
Geq = (R1 / ((R1 + R2) * R3)) + (1 / (R1 + R2))
Geq = 1 / ((1 / (R1 + R2)) * (1 + (R1 / R3)))
Req = 1 / Geq
Req = (R1 + R2) / (1 + (R1 / R3))
Check:
Req = (1k + 3k) / (1 + (1k / 40))
Req = 153.85
----------------------
On 10/22/2010 10:59 PM, RosemontCrest wrote:
I routinely use the following question to test candidates for EE or TE
positions. For many years, it continues to stump all but one of many.
Is it really that difficult to solve?
http://smg.photobucket.com/albums/v18/RosemontCrest/?action=view&current=programmableload.jpg
or
http://preview.tinyurl.com/2c8udf9
I see two ways to solve it. The preferred method is to use Ohm's law
and nodal analysis without regard to the value of +VDC. Another method
is to assign a value to +VDC and solve it that way; I find that method
lame. Is this question, or test, too challenging for a BSEE graduate?
For entertainment only, I invite any of you to provide the solution
using only nodal analysis without consideration of the value of +VDC
(showing or explaining your work). There are bonus points that have no
value for calculating the exact equivalent resistance.
Thanks,
Brian