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An amplifier has three stages for which Te1 = 200 K (first stage), Te2  = 450 K, and Te3 = 1000K (last stage). If the available power gain of the second stage is 5, what gain must the first stage have to guarantee an effective input noise temperature of 250 K ?
  • a)
    10
  • b)
    13
  • c)
    16
  • d)
    19
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An amplifier has three stages for which Te1= 200 K (first stage), Te2 ...
To determine the gain required for the first stage of the amplifier, we need to consider the effective input noise temperature. The effective input noise temperature (Te) is the equivalent temperature of the noise sources at the input of the amplifier.

Given:
Te1 = 200 K (first stage)
Te2 = 450 K (second stage)
Te3 = 1000 K (last stage)
Power gain of the second stage = 5

We need to find the gain of the first stage that will result in an effective input noise temperature of 250 K.

Let's assume the gain of the first stage as G1.

Now, we can calculate the effective input noise temperature for each stage using the formula:

Tei = Te(i-1) + (Te(i+1) - Te(i-1)) / Gi

Where:
Tei = Effective input noise temperature of stage i
Te(i-1) = Effective input noise temperature of previous stage (i-1)
Te(i+1) = Effective input noise temperature of next stage (i+1)
Gi = Gain of stage i

Calculating the effective input noise temperature for the second stage:

Te2 = Te1 + (Te3 - Te1) / G1 * G2

Plugging in the values:
450 K = 200 K + (1000 K - 200 K) / G1 * 5

Simplifying the equation:
250 K = 800 K / (G1 * 5)
G1 * 5 = 800 K / 250 K
G1 * 5 = 3.2
G1 = 3.2 / 5
G1 = 0.64

Therefore, the gain required for the first stage to guarantee an effective input noise temperature of 250 K is approximately 0.64. Since the options provided are integers, we can round up the value to the nearest integer, which is 1.

Hence, the correct answer is option B, 1.
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An amplifier has three stages for which Te1= 200 K (first stage), Te2 = 450 K, and Te3= 1000K (last stage). If the available power gain of the second stage is 5, what gain must the first stage have to guarantee an effective input noise temperature of 250 K ?a)10b)13c)16d)19Correct answer is option 'B'. Can you explain this answer?
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An amplifier has three stages for which Te1= 200 K (first stage), Te2 = 450 K, and Te3= 1000K (last stage). If the available power gain of the second stage is 5, what gain must the first stage have to guarantee an effective input noise temperature of 250 K ?a)10b)13c)16d)19Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An amplifier has three stages for which Te1= 200 K (first stage), Te2 = 450 K, and Te3= 1000K (last stage). If the available power gain of the second stage is 5, what gain must the first stage have to guarantee an effective input noise temperature of 250 K ?a)10b)13c)16d)19Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An amplifier has three stages for which Te1= 200 K (first stage), Te2 = 450 K, and Te3= 1000K (last stage). If the available power gain of the second stage is 5, what gain must the first stage have to guarantee an effective input noise temperature of 250 K ?a)10b)13c)16d)19Correct answer is option 'B'. Can you explain this answer?.
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