Thermal noise voltage and Boltzmann's constant

The rms value of thermal noise voltage is related to Boltzmann's constant k as


Options:

Vn is Directly proportional to k2
Vn is Directly proportional to k
Vn is Directly proportional to √k
Vn is Directly proportional to k3

Correct Answer: Vn is Directly proportional to √k

Explanation:

Noise voltage Vn is given by
√(4R KTB)

Where, K = 1.381×10-23 J/K, joules per Kelvin, the Boltzmann constant

B is the bandwidth at which the power Pn is delivered.

T noise temperature

R is the resistance

If K is the Boltzmann's constant, the rms value of thermal noise voltage is proportional to √k.
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