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"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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5.1 Why Study Feedback <strong>The</strong>ory?<br />

Feedback and Stability <strong>The</strong>ory<br />

Ron Manc<strong>in</strong>i<br />

<strong>The</strong> ga<strong>in</strong> of all op amps decreases as frequency <strong>in</strong>creases, and <strong>the</strong> decreas<strong>in</strong>g ga<strong>in</strong> results<br />

<strong>in</strong> decreas<strong>in</strong>g accuracy as <strong>the</strong> ideal op amp assumption (a ⇒ ∝) breaks down. In<br />

most real op amps <strong>the</strong> open loop ga<strong>in</strong> starts to decrease before <strong>10</strong> Hz, so an understand<strong>in</strong>g<br />

of feedback is required to predict <strong>the</strong> closed loop performance of <strong>the</strong> op amp. <strong>The</strong> real<br />

world application of op amps is feedback controlled, and depends on op amp open loop<br />

ga<strong>in</strong> at a given frequency. A designer must know <strong>the</strong>ory to be able to predict <strong>the</strong> circuit<br />

response regardless of frequency or open loop ga<strong>in</strong>.<br />

Analysis tools have someth<strong>in</strong>g <strong>in</strong> common with medic<strong>in</strong>e because <strong>the</strong>y both can be distasteful<br />

but necessary. Medic<strong>in</strong>e often tastes bad or has undesirable side effects, and<br />

analysis tools <strong>in</strong>volve lots of hard learn<strong>in</strong>g work before <strong>the</strong>y can be applied to yield results.<br />

Medic<strong>in</strong>e assists <strong>the</strong> body <strong>in</strong> fight<strong>in</strong>g an illness; analysis tools assist <strong>the</strong> bra<strong>in</strong> <strong>in</strong> learn<strong>in</strong>g/<br />

design<strong>in</strong>g feedback circuits.<br />

<strong>The</strong> analysis tools given here are a synopsis of salient po<strong>in</strong>ts; thus <strong>the</strong>y are detailed<br />

enough to get you where you are go<strong>in</strong>g without any extras. <strong>The</strong> references, along with<br />

thousands of <strong>the</strong>ir counterparts, must be consulted when mak<strong>in</strong>g an <strong>in</strong>-depth study of <strong>the</strong><br />

field. Aspir<strong>in</strong>, home remedies, and good health practice handle <strong>the</strong> majority of health problems,<br />

and <strong>the</strong>se analysis tools solve <strong>the</strong> majority of circuit problems.<br />

Ideal op amp circuits can be designed without knowledge of feedback analysis tools, but<br />

<strong>the</strong>se circuits are limited to low frequencies. Also, an understand<strong>in</strong>g of feedback analysis<br />

tools is required to understand AC effects like r<strong>in</strong>g<strong>in</strong>g and oscillations.<br />

5.2 Block Diagram Math and Manipulations<br />

<strong>Chapter</strong> 5<br />

Electronic systems and circuits are often represented by block diagrams, and block diagrams<br />

have a unique algebra and set of transformations[1]. Block diagrams are used because<br />

<strong>the</strong>y are a shorthand pictorial representation of <strong>the</strong> cause-and-effect relationship<br />

between <strong>the</strong> <strong>in</strong>put and output <strong>in</strong> a real system. <strong>The</strong>y are a convenient method for characteriz<strong>in</strong>g<br />

<strong>the</strong> functional relationships between components. It is not necessary to understand<br />

<strong>the</strong> functional details of a block to manipulate a block diagram.<br />

5-1

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