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An amplifier has three stages for which Te1 = 150 K (first stage), Te3 = 350 K, and Te3 = 600 K (output stage). Available power gain of the first stage is 10 and overall input effective noise temperature is 190 K
Que: The available power gain of the second stage is
  • a)
    12
  • b)
    14
  • c)
    16
  • d)
    18
Correct answer is option 'A'. Can you explain this answer?
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An amplifier has three stages for which Te1= 150 K (first stage), Te3=...
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An amplifier has three stages for which Te1= 150 K (first stage), Te3=...
Given information:
- Three stages: First stage, second stage, and output stage
- Te1 = 150 K (first stage)
- Te2 = unknown (second stage)
- Te3 = 600 K (output stage)
- Available power gain of the first stage = 10
- Overall input effective noise temperature = 190 K

To find:
- Available power gain of the second stage

Solution:
1. Find the overall available power gain:
- The overall available power gain (G) of the amplifier is the product of the available power gains of each stage:
G = G1 x G2 x G3
- We know G1 = 10 (given)
- We don't know G2 and G3 yet, so we'll leave them as variables for now:
G = 10 x G2 x G3

2. Find the overall effective noise temperature:
- The overall effective noise temperature (Te) of the amplifier is given as 190 K (given)

3. Find the overall noise factor:
- The overall noise factor (F) of the amplifier is related to the overall effective noise temperature by:
F = (Te / To) + 1
- To is the reference temperature, which is typically 290 K
- Plugging in the values, we get:
F = (190 / 290) + 1
F = 1.655

4. Find the noise factor of the first stage:
- The noise factor (F1) of the first stage is related to its effective noise temperature (Te1) and available power gain (G1) by:
F1 = (Te1 / To) + 1 / G1
- Plugging in the values, we get:
F1 = (150 / 290) + 1 / 10
F1 = 1.517

5. Find the noise factor of the output stage:
- The noise factor (F3) of the output stage is related to its effective noise temperature (Te3) and available power gain (G3) by:
F3 = (Te3 / To) + 1 / G3
- Plugging in the values, we get:
F3 = (600 / 290) + 1 / G3
F3 = 3.069 + 1 / G3

6. Find the noise factor of the second stage:
- The noise factor (F2) of the second stage can be found by subtracting the noise factors of the first and output stages from the overall noise factor:
F2 = F / (F1 x F3)
F2 = 1.655 / (1.517 x (3.069 + 1 / G3))
- We don't know G3 yet, so we'll leave it as a variable for now.

7. Find the available power gain of the second stage:
- The available power gain (G2) of the second stage is related to its noise factor (F2) and effective noise temperature (Te2) by:
G2 = (F2 - 1) x To / Te2
- Plugging in the values, we get:
G2 = (1.655 / (1.517 x (3.069 + 1 / G3)) - 1) x 290 / Te2
- We don't know Te2 or G3 yet, so we
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An amplifier has three stages for which Te1= 150 K (first stage), Te3=350 K, and Te3=600 K (output stage). Available power gain of the first stage is 10 and overall input effective noise temperature is 190 KQue: The available power gain of the second stage isa)12b)14c)16d)18Correct answer is option 'A'. Can you explain this answer?
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An amplifier has three stages for which Te1= 150 K (first stage), Te3=350 K, and Te3=600 K (output stage). Available power gain of the first stage is 10 and overall input effective noise temperature is 190 KQue: The available power gain of the second stage isa)12b)14c)16d)18Correct answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about An amplifier has three stages for which Te1= 150 K (first stage), Te3=350 K, and Te3=600 K (output stage). Available power gain of the first stage is 10 and overall input effective noise temperature is 190 KQue: The available power gain of the second stage isa)12b)14c)16d)18Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An amplifier has three stages for which Te1= 150 K (first stage), Te3=350 K, and Te3=600 K (output stage). Available power gain of the first stage is 10 and overall input effective noise temperature is 190 KQue: The available power gain of the second stage isa)12b)14c)16d)18Correct answer is option 'A'. Can you explain this answer?.
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