"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10
"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10
"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10
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9.5 Impedance<br />
Voltage- and Current-Feedback <strong>Op</strong> Amp Comparison<br />
Impedance<br />
<strong>The</strong> CFA stability is not constra<strong>in</strong>ed by <strong>the</strong> closed-loop ga<strong>in</strong>, thus a stable operat<strong>in</strong>g po<strong>in</strong>t<br />
can be found for any ga<strong>in</strong>, and <strong>the</strong> CFA is not limited by <strong>the</strong> ga<strong>in</strong>-bandwidth constra<strong>in</strong>t.<br />
If <strong>the</strong> optimum feedback resistor value is not given for a specific ga<strong>in</strong>, one must test to f<strong>in</strong>d<br />
<strong>the</strong> optimum feedback resistor value.<br />
Stray capacitance from any node to ground adversely affects <strong>the</strong> CFA performance. Stray<br />
capacitance of just a couple of pico Farads from any node to ground causes 3 dB or more<br />
of peak<strong>in</strong>g <strong>in</strong> <strong>the</strong> frequency response. Stray capacitance across <strong>the</strong> CFA feedback resistor,<br />
quite unlike that across <strong>the</strong> VFA feedback resistor, always causes some form of <strong>in</strong>stability.<br />
CFAs are applied at very high frequencies, so <strong>the</strong> pr<strong>in</strong>ted circuit board <strong>in</strong>ductance<br />
associated with <strong>the</strong> trace length and p<strong>in</strong>s adds ano<strong>the</strong>r variable to <strong>the</strong> stability equation.<br />
Inductance cancels out capacitance at some frequency, but this usually seems to happen<br />
<strong>in</strong> an adverse manner. <strong>The</strong> wir<strong>in</strong>g of VFAs is critical, but <strong>the</strong> wir<strong>in</strong>g of CFAs is a science.<br />
Stay with <strong>the</strong> layout recommended by <strong>the</strong> manufacturer whenever possible.<br />
<strong>The</strong> <strong>in</strong>put impedance of a VFA and CFA differ dramatically because <strong>the</strong>ir circuit configurations<br />
are very different. <strong>The</strong> VFA <strong>in</strong>put circuit is a long-tailed pair, and this configuration<br />
gives <strong>the</strong> advantages that both <strong>in</strong>put impedances match. Also, <strong>the</strong> <strong>in</strong>put signal looks <strong>in</strong>to<br />
an emitter-follower circuit that has high <strong>in</strong>put impedance. <strong>The</strong> emitter-follower <strong>in</strong>put impedance<br />
is β(r e + R E) where R E is a discrete emitter resistor. At low <strong>in</strong>put currents, R E is<br />
very high and <strong>the</strong> <strong>in</strong>put impedance is very high. If a higher <strong>in</strong>put impedance is required,<br />
<strong>the</strong> op amp uses a Darl<strong>in</strong>gton circuit that has an <strong>in</strong>put impedance of β 2(r e + R E).<br />
So far, <strong>the</strong> implicit assumption is that <strong>the</strong> VFA is made with a bipolar semiconductor process.<br />
Applications requir<strong>in</strong>g very high <strong>in</strong>put impedances often use a FET process. Both<br />
BIFET and CMOS processes offer very high <strong>in</strong>put impedance <strong>in</strong> any long-tailed pair configuration.<br />
It is easy to get matched and high <strong>in</strong>put impedances at <strong>the</strong> amplifier <strong>in</strong>puts. Do<br />
not confuse <strong>the</strong> matched <strong>in</strong>put impedance at <strong>the</strong> op amp leads with <strong>the</strong> overall circuit <strong>in</strong>put<br />
impedance. <strong>The</strong> <strong>in</strong>put impedance look<strong>in</strong>g <strong>in</strong>to <strong>the</strong> <strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put is R G, and <strong>the</strong> impedance<br />
look<strong>in</strong>g <strong>in</strong>to <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put is <strong>the</strong> <strong>in</strong>put impedance of <strong>the</strong> op amp. While <strong>the</strong>se<br />
are two different impedances, <strong>the</strong>y are mismatched because of <strong>the</strong> circuit not <strong>the</strong> op amp.<br />
<strong>The</strong> CFA has a radically different <strong>in</strong>put structure that causes it to have mismatched <strong>in</strong>put<br />
impedances. <strong>The</strong> non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put lead of <strong>the</strong> CFA is <strong>the</strong> <strong>in</strong>put of a buffer that has very<br />
high <strong>in</strong>put impedance. <strong>The</strong> <strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put lead is <strong>the</strong> output of a buffer that has very low<br />
impedance. <strong>The</strong>re is no possibility that <strong>the</strong>se two <strong>in</strong>put impedances can be matched.<br />
Aga<strong>in</strong>, because of <strong>the</strong> circuit, <strong>the</strong> <strong>in</strong>vert<strong>in</strong>g circuit <strong>in</strong>put impedance is R G. Once <strong>the</strong> circuit<br />
ga<strong>in</strong> is fixed, <strong>the</strong> only way to <strong>in</strong>crease R G is to <strong>in</strong>crease R F. But, R F is determ<strong>in</strong>ed by a<br />
tradeoff between stability and bandwidth. <strong>The</strong> circuit ga<strong>in</strong> and bandwidth requirements<br />
fix R F, hence <strong>the</strong>re is no room to fur<strong>the</strong>r adjust R F to raise <strong>the</strong> resistance of R G. If <strong>the</strong><br />
manufacturer’s data sheet says that R F = <strong>10</strong>0 Ω when <strong>the</strong> closed-loop ga<strong>in</strong> is two, <strong>the</strong>n<br />
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