Noise in resistors: What is the type of noise generated due to random thermal agitation of charge carriers in a resistor?

Difficulty: Easy

Correct Answer: Thermal noise

Explanation:

Introduction / Context:Noise is an unavoidable phenomenon in electronic circuits. Resistors generate a specific type of noise due to the random motion of electrons caused by thermal energy.

Given Data / Assumptions:

  • Resistor at a finite temperature T.
  • Noise voltage measured across its terminals.

Concept / Approach:

Thermal noise, also called Johnson or Nyquist noise, is proportional to the resistor value, temperature, and measurement bandwidth. Its power spectral density is uniform (white) over practical frequency ranges.

Step-by-Step Solution:

Formula: Vn_rms = √(4 * k * T * R * B).Here, k = Boltzmann constant, T = absolute temperature (K), R = resistance (Ω), B = bandwidth (Hz).Thus, noise is purely thermal in nature.

Verification / Alternative check:

Noise spectrum of a resistor shows flat (white) characteristic, confirming thermal noise is the correct answer.

Why Other Options Are Wrong:

  • Partition noise: occurs in current division at semiconductor junctions.
  • White noise: describes spectrum shape, but specific origin here is thermal.
  • Shot noise: occurs in semiconductor diodes and vacuum tubes.
  • Impulse noise: external transient disturbances, not inherent to resistors.

Common Pitfalls:

  • Confusing white noise with thermal noise; while thermal noise is white, the correct physical term here is thermal noise.

Final Answer:

Thermal noise.

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