Op.Amp:integrator and offset/Ibias errors
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Op.Amp:integrator and offset/Ibias errors

 
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negromonte1
Guest





Posted: Mon Dec 12, 2005 5:35 pm    Post subject: Op.Amp:integrator and offset/Ibias errors Reply with quote

I have an home work to do:

http://img372.imageshack.us/my.php?image=integrator12ww.gif

At t=0+ the switch is open; at t=0- switch
is closed (vc=0). Calculate vo(t).

According the book the result should be:

vo(t) = VOS + (VOS/RC)*t + (IB2/C)*t (when t>=0)

But my guess is:

vo(t) = ± (VOS/RC)*t ± (IB2/C)*t (when t>=0)

(± sign, since neither VOS nor IB2 sign are predicible)

I don't understand the result of the book;
how that VOS (first term) can be in vo(t);
since amp.op. is in common mode range I used
"sum of effects" to calculate vo(t) and
according to me the contribute to Vout of
VOS is just to charge capacitor.

Thanks in advance for the help.

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John Popelish
Guest





Posted: Mon Dec 12, 2005 5:35 pm    Post subject: Re: Op.Amp:integrator and offset/Ibias errors Reply with quote

negromonte1 wrote:
Quote:
I have an home work to do:

http://img372.imageshack.us/my.php?image=integrator12ww.gif

At t=0+ the switch is open; at t=0- switch
is closed (vc=0). Calculate vo(t).

According the book the result should be:

vo(t) = VOS + (VOS/RC)*t + (IB2/C)*t (when t>=0)

But my guess is:

vo(t) = ± (VOS/RC)*t ± (IB2/C)*t (when t>=0)

(± sign, since neither VOS nor IB2 sign are predicible)

The sign of VOS and IB2 are included in the symbol. In other words,
those variables include both a magnitude and a sign, just like any
other algebraic variable. Your method is more confusing than helpful.

Quote:
I don't understand the result of the book;
how that VOS (first term) can be in vo(t);
since amp.op. is in common mode range I used
"sum of effects" to calculate vo(t) and
according to me the contribute to Vout of
VOS is just to charge capacitor.

Solve for the case when the switch is closed. That is what you start
with at t=0, before the capacitor has a chance to change its voltage
(integrate) at all.

> Thanks in advance for the help.
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Fred Bloggs
Guest





Posted: Mon Dec 12, 2005 5:35 pm    Post subject: Re: Op.Amp:integrator and offset/Ibias errors Reply with quote

negromonte1 wrote:
Quote:
I have an home work to do:

http://img372.imageshack.us/my.php?image=integrator12ww.gif

At t=0+ the switch is open; at t=0- switch
is closed (vc=0). Calculate vo(t).

According the book the result should be:

vo(t) = VOS + (VOS/RC)*t + (IB2/C)*t (when t>=0)

But my guess is:

vo(t) = ± (VOS/RC)*t ± (IB2/C)*t (when t>=0)

(± sign, since neither VOS nor IB2 sign are predicible)

I don't understand the result of the book;
how that VOS (first term) can be in vo(t);
since amp.op. is in common mode range I used
"sum of effects" to calculate vo(t) and
according to me the contribute to Vout of
VOS is just to charge capacitor.

Thanks in advance for the help.

When the switch is closed vo=v(-) which must be at VOS for v(+)=v(-).
And when the switch opens this condition still holds for v(+)=v(-) so
that vo= VOS + q/C, at each instant by simple sum of voltages around the
loop, where q is the time integral of current from vo to v(-) node
through C. The current required to maintain v(-) at VOS is just IB2 +
VOS/R1, a constant supplied through C, so the integral is then
q=(IB2+VOS/R1)*t making vo=VOS + IB2/C*t + VOS/(C*R1)*t.

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neon



Joined: 25 Feb 2006
Posts: 594

Posted: Fri Mar 31, 2006 1:19 pm    Post subject: Reply with quote

with the switch across the amp open or close the amp is saturated to whatever the it goes to open loop depends on A IT SHOULD SATURATE both way.
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