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An amplifier with an open loop gain of 500 operates in an environment where a certain temperature rise causes the open loop gain to increase to 550. Treating the amplifier as a negative feedback system, find the necessary feedback fraction, ẞ to ensure that that the closed loop gain does not change by more than 0.2%. Assume that ß does not change with temperature. Hence find the closed loop gain of the amplifier to satisfy this condition.

An amplifier with an open loop gain of 500 operates in an environment where a certain temperature rise causes the open loop gain to increase to 550. Treating the amplifier as a negative feedback system, find the necessary feedback fraction, ẞ to ensure that that the closed loop gain does not change by more than 0.2%. Assume that ß does not change with temperature. Hence find the closed loop gain of the amplifier to satisfy this condition.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Mainly want to know why B = 0.089 in part b 

4 a) b) c) Draw the block diagram of a simple negative feedback system. Define the terms: open loop gain, Aot, feedback fraction, ß and closed loop gain, A. Hence derive the expression for the closed loop gain: Af Aol 1+ Auß An amplifier with an open loop gain of 500 operates in an environment where a certain temperature rise causes the open loop gain to increase to 550. Treating the amplifier as a negative feedback system, find the necessary feedback fraction, ẞ to ensure that that the closed loop gain does not change by more than 0.2%. Assume that ß does not change with temperature. Hence find the closed loop gain of the amplifier to satisfy this condition. A practical circuit to implement the amplifier is shown in Figure Q4c overleaf. Show that the voltage gain is given as Vo V₁ = R₁ + R₂ R₂ and hence design the amplifier (choose suitable resistor values) to achieve the requirement found in part b). Justify any approximations used. [If you were unable to complete part b), assume Af= 11] Figure Q4c V₂
Transcribed Image Text:4 a) b) c) Draw the block diagram of a simple negative feedback system. Define the terms: open loop gain, Aot, feedback fraction, ß and closed loop gain, A. Hence derive the expression for the closed loop gain: Af Aol 1+ Auß An amplifier with an open loop gain of 500 operates in an environment where a certain temperature rise causes the open loop gain to increase to 550. Treating the amplifier as a negative feedback system, find the necessary feedback fraction, ẞ to ensure that that the closed loop gain does not change by more than 0.2%. Assume that ß does not change with temperature. Hence find the closed loop gain of the amplifier to satisfy this condition. A practical circuit to implement the amplifier is shown in Figure Q4c overleaf. Show that the voltage gain is given as Vo V₁ = R₁ + R₂ R₂ and hence design the amplifier (choose suitable resistor values) to achieve the requirement found in part b). Justify any approximations used. [If you were unable to complete part b), assume Af= 11] Figure Q4c V₂
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