Question 9.6: Objective: Design a difference amplifier with a specified ga...

Objective: Design a difference amplifier with a specified gain.

Specifications: Design the difference amplifier with the configuration shown in Figure 9.24 such that the differential gain is 30. Standard valued resistors are to be used and the maximum resistor value is to be 500 kΩ

Choices: An ideal op-amp is available

9.24
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The differential gain is given by
R2R1=R4R3=30\frac{R_{2}}{R_{1}} = \frac{R_{4}}{R_{3}} = 30
From Appendix C, we can use standard resistors of
R2=R4=390 kΩR_{2} = R_{4} = 390  k\Omega       and       R1=R3=13 kΩR_{1} = R_{3} = 13  k\Omega
These resistor values are obviously less than 500 kΩ and will give an input resistance of Ri=2R1=2(13)=26 kΩR_{i} = 2R_{1} = 2(13) = 26  k\Omega.
Trade-offs: Resistor tolerances must be considered as we have in other designs. This effect is considered in end-of-chapter Problem 9.62. Resistor tolerances also affect the common-mode rejection ratio, as analyzed in the following example.
Comment: This example illustrated one disadvantage of this differential amplifier design. It cannot achieve both high gain and high input impedance without using extremely large resistor values

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