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Determine the decibel values of thermal noise power (n) and thermal noise power density (no) given the following: t=300 degrees kelvin, b = 24MHz?

User John F
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1 Answer

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Final answer:

The decibel values of thermal noise power and thermal noise power density can be determined using the equations n = kTB and no = kB, where k is the Boltzmann constant, T is the temperature in Kelvin, and B is the bandwidth in Hz. Given the values T = 300 Kelvin and B = 24MHz, the calculated values for n and no are approximately 9.94 x 10^-14 J and 4.89 x 10^-21 J/Hz respectively.

Step-by-step explanation:

The decibel values of thermal noise power (n) and thermal noise power density (no) can be determined using the equations:



n = kTB and no = kB



Where:



k = Boltzmann constant (1.38 x 10^-23 J/K)

T = temperature in Kelvin

B = bandwidth in Hz



Given that the temperature (T) is 300 Kelvin and the bandwidth (B) is 24MHz (24 x 10^6 Hz), we can calculate the values as follows:



n = (1.38 x 10^-23 J/K) * (300 K) * (24 x 10^6 Hz)

no = (1.38 x 10^-23 J/K) * (300 K)



By performing the calculations, we find:



n &#approx; 9.94 x 10^-14 J

no &#approx; 4.89 x 10^-21 J/Hz

User Eckstein
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