40 Chapter 3 Modeling Electrical and Electromechanical Systems Equation (3.70) can be simplified by multiplying both sides by R₁+R₂ €o(R₁ + R₂ + KR₁) = -KR₂ein (1) Finally, the output voltage is ²0 -KR₂ R₁ + R₂ + KR₁ €o = €(1) -R₂ R₁ (3.71) Because the gain K is extremely large, we can take the limit of Eq. (3.72) as K→ ∞o to obtain the output voltage relationship for an ideal op-amp circuit (3.72) (3.73)
40 Chapter 3 Modeling Electrical and Electromechanical Systems Equation (3.70) can be simplified by multiplying both sides by R₁+R₂ €o(R₁ + R₂ + KR₁) = -KR₂ein (1) Finally, the output voltage is ²0 -KR₂ R₁ + R₂ + KR₁ €o = €(1) -R₂ R₁ (3.71) Because the gain K is extremely large, we can take the limit of Eq. (3.72) as K→ ∞o to obtain the output voltage relationship for an ideal op-amp circuit (3.72) (3.73)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Can I please get assistance with the transition from equation (3.72) through equation (3.73)? Step by Step.
***This is an example from my text book and not a homework problem.
![40 Chapter 3 Modeling Electrical and Electromechanical Systems
Equation (3.70) can be simplified by multiplying both sides by R₁+R₂
€o(R₁ + R₂ + KR₁) = -KR₂ein (1)
Finally, the output voltage is
²0
-KR₂
R₁ + R₂ + KR₁
€o =
€(1)
-R₂
R₁
(3.71)
Because the gain K is extremely large, we can take the limit of Eq. (3.72) as K→ ∞o to obtain the output voltage relationship
for an ideal op-amp circuit
(3.72)
(3.73)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb463ed35-fee9-4542-9b85-f3f6ed528f6b%2Fc626c69c-7e29-4621-8694-06788f853f75%2Fa8u9f1_processed.png&w=3840&q=75)
Transcribed Image Text:40 Chapter 3 Modeling Electrical and Electromechanical Systems
Equation (3.70) can be simplified by multiplying both sides by R₁+R₂
€o(R₁ + R₂ + KR₁) = -KR₂ein (1)
Finally, the output voltage is
²0
-KR₂
R₁ + R₂ + KR₁
€o =
€(1)
-R₂
R₁
(3.71)
Because the gain K is extremely large, we can take the limit of Eq. (3.72) as K→ ∞o to obtain the output voltage relationship
for an ideal op-amp circuit
(3.72)
(3.73)
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