JEE Physics · Medium

Capacitance: Cylindrical Capacitor MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Cylindrical CapacitorMediumQuestion 31513

Question

Capacitance per unit length of a cylindrical capacitor with inner radius a and outer radius b is:
  1. A
    2πε₀/ln(b/a)
    Correct
  2. B
    2πε₀ln(b/a)
  3. C
    ε₀/ln(b/a)
  4. D
    πε₀/ln(b/a)

Correct answer

2πε₀/ln(b/a)

Explanation

Using Gauss's law for a cylindrical Gaussian surface, C/L = 2πε₀/ln(b/a).