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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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3.9 Summary<br />

Development of <strong>the</strong> Ideal <strong>Op</strong> Amp Equations<br />

Summary<br />

When <strong>the</strong> proper assumptions are made, <strong>the</strong> analysis of op amp circuits is straightforward.<br />

<strong>The</strong>se assumptions, which <strong>in</strong>clude zero <strong>in</strong>put current, zero <strong>in</strong>put offset voltage, and<br />

<strong>in</strong>f<strong>in</strong>ite ga<strong>in</strong>, are realistic assumptions because <strong>the</strong> new op amps make <strong>the</strong>m true <strong>in</strong> most<br />

applications.<br />

When <strong>the</strong> signal is comprised of low frequencies, <strong>the</strong> ga<strong>in</strong> assumption is valid because<br />

op amps have very high ga<strong>in</strong> at low frequencies. When CMOS op amps are used, <strong>the</strong> <strong>in</strong>put<br />

current is <strong>in</strong> <strong>the</strong> femto amp range; close enough to zero for most applications. Laser<br />

trimmed <strong>in</strong>put circuits reduce <strong>the</strong> <strong>in</strong>put offset voltage to a few micro volts; close enough<br />

to zero for most applications. <strong>The</strong> ideal op amp is becom<strong>in</strong>g real; especially for undemand<strong>in</strong>g<br />

applications.<br />

3-11

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