Enter the temperature in Kelvin and the bandwidth in Hz into the calculator to determine the Kt/C noise in decibels (dB).
Kt/C Noise Formula
The following formula is used to calculate the Kt/C noise:
N = 10 * log10(k * T * B)
Variables:
- N is the noise in decibels (dB)
- k is the Boltzmann constant (1.38e-23 J/K)
- T is the temperature in Kelvin (K)
- B is the bandwidth in Hertz (Hz)
To calculate the Kt/C noise, multiply the Boltzmann constant by the temperature in Kelvin and the bandwidth in Hertz, then take the logarithm base 10 of the result and multiply by 10 to convert to decibels.
What is Kt/C Noise?
Kt/C noise, also known as thermal noise or Johnson-Nyquist noise, is the electronic noise generated by the thermal agitation of the charge carriers (usually the electrons) inside an electrical conductor at equilibrium, which happens without any applied voltage. It is a fundamental noise that sets the lower limit for the noise performance of electronic devices and is directly proportional to the absolute temperature and bandwidth of the system.
How to Calculate Kt/C Noise?
The following steps outline how to calculate the Kt/C Noise:
- First, determine the temperature (T) in Kelvin.
- Next, determine the bandwidth (B) in Hertz.
- Use the formula N = 10 * log10(k * T * B) to calculate the noise.
- Finally, calculate the Kt/C Noise (N) in decibels (dB).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Temperature (T) = 300 Kelvin
Bandwidth (B) = 1000 Hz
