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Electrostatics: Gauss's Law Application MCQ

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Gauss's Law ApplicationMediumQuestion 31429

Question

Field at distance r from a long straight uniformly charged rod (linear density λ, r < rod length) is:
  1. A
    kλ/r²
  2. B
    λ/(2πε₀r)
    Correct
  3. C
    kλ/r
  4. D
    λ/(4πε₀r²)

Correct answer

λ/(2πε₀r)

Explanation

Cylindrical Gaussian surface: E×2πrL = λL/ε₀ → E = λ/(2πε₀r). Same as 2kλ/r.

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