ISRO Electronics & Communication (ECE) 2014 - Question 58

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Topic: Communication Systems

The thermal noise spectral density generated in a resistor kept at $t^{\circ}C$ is given by

  • A. $k(t+273)$
  • B. $ktB$
  • C. $k(t+273)B$
  • D. $2k(t+273)$

Answer: A. $k(t+273)$

Explanation: Thermal noise power is $P_n = kTB$. The thermal noise power spectral density is the ratio of thermal noise power to bandwidth, which is $P_n/B = kT$ Watts/Hz. Converting temperature from Celsius to Kelvin gives $T = (t+273)$ K. Therefore, the spectral density is $k(t+273)$.

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