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System noise temperature of two amplifiers in cascade. Two amplifiers, A₁ and A₂, that have the same bandwidth B are connected in cascade (output of A, goes to input of A₂). Amplifier A, has an effective noise temperature T₁=35K and a gain G₁=30 (numeric ratio). Amplifier A, also has a gain G₂=G₁=30, but its noise temperature is much higher: T₂=500 K. Assume for the purposes of this problem that the source is a 50-2 resistor at OK, so that the only noise to be considered originates in the amplifiers themselves. (a) Calculate the system noise temperature Tys(a) of the system of two cascaded amplifiers with A,'s output feeding A₂'s input. (Hint: Use Eq. 11.42 with T=0.) (b) Now, reverse the order of the amplifiers in the cascade so that A₂'s output feeds the input of A₁. What is the system noise temperature Tsys(b) of the cascade with the higher-noise amplifier placed at the front end? Is this a significant difference? SYS

System noise temperature of two amplifiers in cascade. Two amplifiers, A₁ and A₂, that have the same bandwidth B are connected in cascade (output of A, goes to input of A₂). Amplifier A, has an effective noise temperature T₁=35K and a gain G₁=30 (numeric ratio). Amplifier A, also has a gain G₂=G₁=30, but its noise temperature is much higher: T₂=500 K. Assume for the purposes of this problem that the source is a 50-2 resistor at OK, so that the only noise to be considered originates in the amplifiers themselves. (a) Calculate the system noise temperature Tys(a) of the system of two cascaded amplifiers with A,'s output feeding A₂'s input. (Hint: Use Eq. 11.42 with T=0.) (b) Now, reverse the order of the amplifiers in the cascade so that A₂'s output feeds the input of A₁. What is the system noise temperature Tsys(b) of the cascade with the higher-noise amplifier placed at the front end? Is this a significant difference? SYS

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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(a) Tsrs = 51.67 K (b) Tsrs = 501.2 K, yes.
Transcribed Image Text:(a) Tsrs = 51.67 K (b) Tsrs = 501.2 K, yes.
System noise temperature of two amplifiers in cascade. Two amplifiers, A₁ and A₂, that have the same bandwidth B are connected in cascade (output of A, goes to input of A₂). Amplifier A, has an effective noise temperature T₁=35K and a gain G₁=30 (numeric ratio). Amplifier A, also has a gain G₂=G₁=30, but its noise temperature is much higher: T₂=500 K. Assume for the purposes of this problem that the source is a 50-92 resistor at OK, so that the only noise to be considered originates in the amplifiers themselves. (a) Calculate the system noise temperature Tys(a) of the system of two cascaded amplifiers with A,'s output feeding A₂'s input. (Hint: Use Eq. 11.42 with T=0.) (b) Now, reverse the order of the amplifiers in the cascade so that A₂'s output feeds the input of A₁. What is the system noise temperature Tys(b) of the cascade with the higher-noise amplifier placed at the front end? Is this a significant difference? SYS
Transcribed Image Text:System noise temperature of two amplifiers in cascade. Two amplifiers, A₁ and A₂, that have the same bandwidth B are connected in cascade (output of A, goes to input of A₂). Amplifier A, has an effective noise temperature T₁=35K and a gain G₁=30 (numeric ratio). Amplifier A, also has a gain G₂=G₁=30, but its noise temperature is much higher: T₂=500 K. Assume for the purposes of this problem that the source is a 50-92 resistor at OK, so that the only noise to be considered originates in the amplifiers themselves. (a) Calculate the system noise temperature Tys(a) of the system of two cascaded amplifiers with A,'s output feeding A₂'s input. (Hint: Use Eq. 11.42 with T=0.) (b) Now, reverse the order of the amplifiers in the cascade so that A₂'s output feeds the input of A₁. What is the system noise temperature Tys(b) of the cascade with the higher-noise amplifier placed at the front end? Is this a significant difference? SYS
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