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Math text book fail.......again

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haxor5354
Thu Dec 08 2011, 01:25AM Print
haxor5354 Registered Member #2063 Joined: Sat Apr 04 2009, 03:16PM
Location: Toronto
Posts: 352
take a look at question 15 part c)
yeah i'd like to see what happens if you stick 100,000,000,000,000,000,000 volts into an op-amp
on thing for sure, it won't output 25v ;)
494
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Inducktion
Thu Dec 08 2011, 01:40AM
Inducktion Registered Member #3637 Joined: Fri Jan 21 2011, 11:07PM
Location: Buffalo, NY
Posts: 1068
... I don't understand, what's wrong?
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Turkey9
Thu Dec 08 2011, 01:54AM
Turkey9 Registered Member #1451 Joined: Wed Apr 23 2008, 03:48AM
Location: Boulder, Co
Posts: 661
Are you commenting on how the equation doesn't put a limit on the input or output? They are assuming an ideal op-amp in an attempt to relate math to real life.
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magnet18
Thu Dec 08 2011, 02:02AM
magnet18 Registered Member #3766 Joined: Sun Mar 20 2011, 05:39AM
Location: 1307912312 3766 FT117575 Indiana State
Posts: 624
those math types... they have no idea how to actually USE it for something tongue
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Dr. Slack
Thu Dec 08 2011, 08:19AM
Dr. Slack Registered Member #72 Joined: Thu Feb 09 2006, 08:29AM
Location: UK St. Albans
Posts: 1659
... as well as confusing the students as to the way the term "op-amp" is used today. Once upon a time, when valves were replacing wheels, shafts and discs in analogue computers, operational amplifiers were modules that performed "an operation", so your analogue computer might contain adders, gain blocks, logging amplifiers, to be patched together with 1/4" jack leads.

These days of course, an "op-amp" is just an amplifier with huge gain intended to be tamed with some sort of feedback, and the function they describe would tend to be called a log-amp.

The input may need to be in the order of 10^20 volts, but log() is not well defined. It could be log10, but loge or ln is another possibility. Even if it was log2, the input would still be a bit large for an op-amp (for large values of "a bit").
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Hon1nbo
Thu Dec 08 2011, 01:34PM
Hon1nbo Registered Member #902 Joined: Sun Jul 15 2007, 08:17PM
Location: North Texas
Posts: 1040
Dr. Slack wrote ...

... as well as confusing the students as to the way the term "op-amp" is used today. Once upon a time, when valves were replacing wheels, shafts and discs in analogue computers, operational amplifiers were modules that performed "an operation", so your analogue computer might contain adders, gain blocks, logging amplifiers, to be patched together with 1/4" jack leads.

These days of course, an "op-amp" is just an amplifier with huge gain intended to be tamed with some sort of feedback, and the function they describe would tend to be called a log-amp.

The input may need to be in the order of 10^20 volts, but log() is not well defined. It could be log10, but loge or ln is another possibility. Even if it was log2, the input would still be a bit large for an op-amp (for large values of "a bit").

mathematical convention is to assume that log x = log [base 10] of x unless a different base is denoted (log base e of x has a special form, "ln x," which is used whenever it is "e")

-Jimmy
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AndrewM
Thu Dec 08 2011, 02:45PM
AndrewM Registered Member #49 Joined: Thu Feb 09 2006, 04:05AM
Location: Bigass Pile of Penguins
Posts: 362
DaJJHman wrote ...

Dr. Slack wrote ...

... as well as confusing the students as to the way the term "op-amp" is used today. Once upon a time, when valves were replacing wheels, shafts and discs in analogue computers, operational amplifiers were modules that performed "an operation", so your analogue computer might contain adders, gain blocks, logging amplifiers, to be patched together with 1/4" jack leads.

These days of course, an "op-amp" is just an amplifier with huge gain intended to be tamed with some sort of feedback, and the function they describe would tend to be called a log-amp.

The input may need to be in the order of 10^20 volts, but log() is not well defined. It could be log10, but loge or ln is another possibility. Even if it was log2, the input would still be a bit large for an op-amp (for large values of "a bit").

mathematical convention is to assume that log x = log [base 10] of x unless a different base is denoted (log base e of x has a special form, "ln x," which is used whenever it is "e")

-Jimmy

This seems to apply in math education but many other fields disagree. I recall a number of physics texts where log is assumed to be natural log. Several computer algebra systems or scripting languages (e.g. matlab) define "log()" as natural log; base ten log is "log10()."
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haxor5354
Thu Dec 08 2011, 10:21PM
haxor5354 Registered Member #2063 Joined: Sat Apr 04 2009, 03:16PM
Location: Toronto
Posts: 352
the answer at the back of the book says its 10^20 volts
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Killa-X
Thu Dec 08 2011, 11:11PM
Killa-X Registered Member #1643 Joined: Mon Aug 18 2008, 06:10PM
Location:
Posts: 1039
haxor5354 wrote ...

the answer at the back of the book says its 10^20 volts

You should demo this to the author of the book...
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klugesmith
Thu Dec 08 2011, 11:41PM
klugesmith Registered Member #2099 Joined: Wed Apr 29 2009, 12:22AM
Location: Los Altos, California
Posts: 1716
It's common for math textbooks to give idealized examples that don't work in the real world.

Even at first grade level:

"Billy had four cookies.
Annie and Sally asked him for two.
How many did Billy have left?"
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