Lecture 1 - Op-amps

Monday, 17 June 2019

12:04 AM

Amplification
Conversion
Waveform Generation
Multiplication
Comparison
Filtering
Uses

Overview of an Op-amp
200px-Op-amp_symbol.svg.png Image result for op amp symbol
﷐𝑉﷮+﷯ - non-inverting input
﷐𝑉﷮−﷯ - inverting input
﷐𝑉﷮𝑆+﷯ and ﷐𝑉﷮𝑆−﷯ are the power supplies for the op-amp, as it is an active device
﷐𝑉﷮𝑜﷯ - gain multiplied by the difference of ﷐𝑉﷮+﷯ and ﷐𝑉﷮−﷯

﷐𝑉﷮𝑜﷯=﷐𝐴﷮𝑉﷯﷐﷐𝑉﷮+﷯−﷐𝑉﷮−﷯﷯
﷐𝐴﷮𝑉﷯ - gain factor

An op-amp has 2 input terminals, 1 output terminals, and 2 power terminals
𝑛 op-amps would have 𝑛(2 input + 1 output) + 2 =3𝑛+2 terminals


Open-loop voltage gain
Equivalent circuit
OpAmp-Equivalent-Circuit.jpg Image result for op amp equivalent circuit
Ideal Characteristics

﷐𝑍﷮𝑖𝑛﷯ is very large
﷐𝑍﷮𝑜𝑢𝑡﷯ is very small

Common Mode Rejection Ratio (CMRR)
Common Mode Rejection Ratio (CMRR)
𝑟𝑎𝑡𝑖𝑜=﷐﷐𝐴﷮𝑑﷯﷮﷐𝐴﷮𝑐﷯﷯

﷐𝐴﷮𝑑﷯ - differential gain
﷐𝐴﷮𝑐﷯ - common voltage

Better op-amps have a higher CMRR

An op-amp should draw little to no current
The realistic drawn current is the input bias
Input Bias Current

Virtual ground: ﷐𝑉﷮−﷯=﷐𝑉﷮+﷯
No current enters the input terminals
Golden Rules for Analysing an Op-amp

Op-amp Types
Inverting Amplifier

Inverting-Amplifier-using-Opamp-Circuit-Diagram.jpg Image result for inverting input op amp


﷐𝑉﷮+﷯=0=﷐𝑉﷮−﷯
(Voltage is zero as ﷐𝑉﷮+﷯ is grounded)


∑𝐼=0
﷐𝑖﷮1﷯+﷐𝑖﷮2﷯−﷐𝑖﷮−﷯=0
As ﷐𝑖﷮−﷯=0
﷐𝑖﷮1﷯+﷐𝑖﷮2﷯=0

﷐﷐𝑣﷮𝑖𝑛﷯−﷐𝑣﷮−﷯﷮𝑅1﷯+﷐﷐𝑣﷮𝑜𝑢𝑡﷯−﷐𝑣﷮−﷯﷮𝑅𝑓﷯=0
﷐﷐𝑣﷮𝑜𝑢𝑡﷯﷮﷐𝑣﷮𝑖𝑛﷯﷯=−﷐𝑅𝑓﷮𝑅1﷯


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Ink Drawings
Ink Drawings
Ink Drawings
Ink Drawings
Ink Drawings
Ink Drawings
Ink Drawings
Ink Drawings
Ink Drawings
Ink Drawings
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KVL @ A:
−﷐𝑉﷮𝑜𝑢𝑡﷯+﷐𝑅﷮𝑜﷯𝐼−﷐𝐴﷮𝑣﷯﷐𝑉﷮𝑖﷮′﷯=0

KVL @ B:
−﷐𝑅𝑖﷮﷐𝑅﷮𝑖﷯+𝑅1﷯﷐𝑉﷮𝑖﷯+(﷐𝑅﷮𝑖﷯|﷐𝑅1+𝑅𝑓+﷐𝑅﷮𝑜﷯﷯𝐼−﷐𝐴﷮𝑉﷯﷐𝑉﷮𝑖﷯=0

Loop BLUE:
−﷐﷐𝑅﷮1﷯﷮﷐𝑅﷮𝑖﷯+𝑅1﷯+(﷐𝑅﷮𝑖﷯|﷐𝑅1﷯𝐼+﷐𝑉﷮𝑖﷯=0

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Okay we good


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/ 1 当 ・ い 
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