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A radio receiver with 10 kHz bandwidth has a noise figure of 30 dB. The noise power at input is (take K = 1.38 x 10-23 J/Kelvin and assume room temperature of 300 K)
  • a)
    2.22 x 10-14 W
  • b)
    5.65 x 10-12 W
  • c)
    1.68 x 10-12 W
  • d)
    4.14 x 10-14 W
Correct answer is option 'D'. Can you explain this answer?
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A radio receiver with 10 kHz bandwidth has a noise figure of 30 dB. Th...
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A radio receiver with 10 kHz bandwidth has a noise figure of 30 dB. Th...
To calculate the noise power at the input of the radio receiver, we need to use the given information about the bandwidth and noise figure.

Given:
Bandwidth (B) = 10 kHz
Noise Figure (NF) = 30 dB
Boltzmann's constant (K) = 1.38 x 10^-23 J/K
Room temperature (T) = 300 K

We can use the formula for noise power, which is given by:
Noise Power (Pn) = K * T * B * 10^(NF/10)

Let's break down the calculation step by step:

Step 1: Convert the noise figure from decibels to a linear scale.
The formula to convert decibels to a linear scale is:
NF (linear) = 10^(NF/10)
NF (linear) = 10^(30/10)
NF (linear) = 10^3

Step 2: Calculate the noise power at the input.
Pn = K * T * B * NF (linear)
Pn = (1.38 x 10^-23) * 300 * (10^4) * (10^3)
Pn = 4.14 x 10^-14 W

Therefore, the noise power at the input of the radio receiver is 4.14 x 10^-14 W.

Hence, the correct answer is option D) 4.14 x 10^-14 W.
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A radio receiver with 10 kHz bandwidth has a noise figure of 30 dB. The noise power at input is (take K = 1.38 x 10-23 J/Kelvin and assume room temperature of 300 K)a)2.22 x 10-14 Wb)5.65 x 10-12 Wc)1.68 x 10-12Wd)4.14 x 10-14 WCorrect answer is option 'D'. Can you explain this answer?
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A radio receiver with 10 kHz bandwidth has a noise figure of 30 dB. The noise power at input is (take K = 1.38 x 10-23 J/Kelvin and assume room temperature of 300 K)a)2.22 x 10-14 Wb)5.65 x 10-12 Wc)1.68 x 10-12Wd)4.14 x 10-14 WCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 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 A radio receiver with 10 kHz bandwidth has a noise figure of 30 dB. The noise power at input is (take K = 1.38 x 10-23 J/Kelvin and assume room temperature of 300 K)a)2.22 x 10-14 Wb)5.65 x 10-12 Wc)1.68 x 10-12Wd)4.14 x 10-14 WCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A radio receiver with 10 kHz bandwidth has a noise figure of 30 dB. The noise power at input is (take K = 1.38 x 10-23 J/Kelvin and assume room temperature of 300 K)a)2.22 x 10-14 Wb)5.65 x 10-12 Wc)1.68 x 10-12Wd)4.14 x 10-14 WCorrect answer is option 'D'. Can you explain this answer?.
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