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What is the maximum average effective input noise temperature that an amplifier can have if its average standard noise figure is to not exceed 1.7?
- a)203 K
- b)215 K
- c)235 K
- d)255 K
Correct answer is option 'A'. Can you explain this answer?
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What is the maximum average effective input noise temperature that an ...
The required answer is 290 x (1.7-1) or 203K.
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What is the maximum average effective input noise temperature that an ...
To find the maximum average effective input noise temperature, we need to use the relationship between noise figure (NF) and noise temperature (T):
NF = 1 + (T / To)
where To is the reference temperature of 290 K.
Given that the average standard noise figure (NF) should not exceed 1.7, we can rearrange the equation to solve for the maximum average effective input noise temperature (T):
1.7 = 1 + (T / 290)
0.7 = T / 290
T = 0.7 * 290
T = 203 K
Therefore, the maximum average effective input noise temperature that the amplifier can have is 203 K.
Explanation:
1. Relationship between noise figure (NF) and noise temperature (T):
- The noise figure represents the degradation of the signal-to-noise ratio (SNR) caused by the amplifier.
- The noise temperature represents the equivalent temperature of a noise source that would produce the same amount of noise power as the amplifier.
- The relationship between NF and T is given by NF = 1 + (T / To), where To is the reference temperature of 290 K.
2. Maximum average standard noise figure:
- The average standard noise figure represents the average NF of the amplifier over a range of frequencies.
- The question states that the average standard noise figure should not exceed 1.7.
3. Calculation:
- Rearrange the equation NF = 1 + (T / To) to solve for T.
- Substitute the given average standard noise figure of 1.7 into the equation.
- Solve for T to find the maximum average effective input noise temperature.
Therefore, the correct answer is option A) 203 K.
NF = 1 + (T / To)
where To is the reference temperature of 290 K.
Given that the average standard noise figure (NF) should not exceed 1.7, we can rearrange the equation to solve for the maximum average effective input noise temperature (T):
1.7 = 1 + (T / 290)
0.7 = T / 290
T = 0.7 * 290
T = 203 K
Therefore, the maximum average effective input noise temperature that the amplifier can have is 203 K.
Explanation:
1. Relationship between noise figure (NF) and noise temperature (T):
- The noise figure represents the degradation of the signal-to-noise ratio (SNR) caused by the amplifier.
- The noise temperature represents the equivalent temperature of a noise source that would produce the same amount of noise power as the amplifier.
- The relationship between NF and T is given by NF = 1 + (T / To), where To is the reference temperature of 290 K.
2. Maximum average standard noise figure:
- The average standard noise figure represents the average NF of the amplifier over a range of frequencies.
- The question states that the average standard noise figure should not exceed 1.7.
3. Calculation:
- Rearrange the equation NF = 1 + (T / To) to solve for T.
- Substitute the given average standard noise figure of 1.7 into the equation.
- Solve for T to find the maximum average effective input noise temperature.
Therefore, the correct answer is option A) 203 K.
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What is the maximum average effective input noise temperature that an amplifier can have if its average standard noise figure is to not exceed 1.7?a)203 Kb)215 Kc)235 Kd)255 KCorrect answer is option 'A'. Can you explain this answer?
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