JEE Physics · Hard

Capacitance: Cylindrical Capacitor Applied MCQ

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Cylindrical Capacitor AppliedHardQuestion 31572

Question

A coaxial cable has inner conductor radius 0.5 mm and outer conductor radius 5 mm. Its capacitance per metre (ε₀ = 8.85 pF/m) is approximately:
  1. A
    24.1 pF/m
    Correct
  2. B
    241 pF/m
  3. C
    2.41 pF/m
  4. D
    48.3 pF/m

Correct answer

24.1 pF/m

Explanation

C/L = 2πε₀/ln(b/a) = 2π×8.85/ln(10) = 55.6/2.303 ≈ 24.1 pF/m.