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An amplifier operating over the frequency range of 18 to 20 MHz has a 10kΩ input resistance.The RMS noise voltage at the input to the amplifier at ambient temperature is (assume Boltzman’s constant = 1.38 × 1023J/K)
  • a)
    18.2 mV
  • b)
    17.2 mV
  • c)
    16.2 mV
  • d)
    14.2 mV
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
An amplifier operating over the frequency range of 18 to 20 MHz has a...
Calculation of RMS Noise Voltage:

Given data:

Frequency range = 18 to 20 MHz
Input resistance = 10kΩ
Boltzmann's constant = 1.38 × 10-23 J/K

Formula used:

Vrms = sqrt(4 * k * T * R * B)

Where,
k = Boltzmann's constant
T = Temperature in Kelvin
R = Input resistance
B = Bandwidth

Calculation:

We need to find the RMS noise voltage at the input to the amplifier at ambient temperature.

The given frequency range is 18 to 20 MHz. So, the bandwidth B = 2 MHz.

The given input resistance R = 10kΩ.

The Boltzmann's constant k = 1.38 × 10-23 J/K.

The ambient temperature is not given. So, we assume it to be room temperature, which is around 27°C or 300 K.

Substituting the values in the formula, we get:

Vrms = sqrt(4 * k * T * R * B)
= sqrt(4 * 1.38 × 10-23 * 300 * 10^3 * 10^4 * 2 × 10^6)
= 18.2 mV

Hence, the RMS noise voltage at the input to the amplifier at ambient temperature is 18.2 mV. Therefore, option A is the correct answer.
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An amplifier operating over the frequency range of 18 to 20 MHz has a...
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An amplifier operating over the frequency range of 18 to 20 MHz has a 10kΩ input resistance.The RMS noise voltage at the input to the amplifier at ambient temperature is (assume Boltzman’s constant = 1.38 × 10−23J/K)a)18.2 mVb)17.2 mVc)16.2 mVd)14.2 mVCorrect answer is option 'A'. Can you explain this answer?
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An amplifier operating over the frequency range of 18 to 20 MHz has a 10kΩ input resistance.The RMS noise voltage at the input to the amplifier at ambient temperature is (assume Boltzman’s constant = 1.38 × 10−23J/K)a)18.2 mVb)17.2 mVc)16.2 mVd)14.2 mVCorrect 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 operating over the frequency range of 18 to 20 MHz has a 10kΩ input resistance.The RMS noise voltage at the input to the amplifier at ambient temperature is (assume Boltzman’s constant = 1.38 × 10−23J/K)a)18.2 mVb)17.2 mVc)16.2 mVd)14.2 mVCorrect 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 operating over the frequency range of 18 to 20 MHz has a 10kΩ input resistance.The RMS noise voltage at the input to the amplifier at ambient temperature is (assume Boltzman’s constant = 1.38 × 10−23J/K)a)18.2 mVb)17.2 mVc)16.2 mVd)14.2 mVCorrect answer is option 'A'. Can you explain this answer?.
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