[SOLVED] Need help in Thermal Noise Power Question

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joric

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The thermal noise power of a channel with a bandwidth of 400 kHz is 1.776 x 10–15 watts, what is its operating temperature in ℃?

N = kTB
N = thermal noise in watts
k = Boltzmann’s constant = 1.38 x 10-23
T = Temperature in kelvin x + 273


T = N / kB
N = 1.776 x 10^-15
k = 1.38 x 10^-23
B = 4 x 10^5

T = 1.776 x 10^-15 / 1.38 x 10^-23 * 4 x 10^5
= 1.776 x 10^-15 / 5.2 x 10^-18
= 0.341538461 x 10^3
= 341.538k

341.538 -273 = 68.538 ℃

Is the answer correct?
 


No

There is a mistake in your calculation.

T = 1.776 x 10^-15 / (1.38 x 10^-23 * 4 x 10^5)
= 1.776 x 10^-15 / 5.52 x 10^-18
= 321.739 K.
 
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