Physics · Electromagnetic induction: Faraday's law, induced emf and current, Lenz's law, eddy currents, self and mutual inductance

While keeping area of cross-section of a solenoid same, the number of turns and

While keeping area of cross-section of a solenoid same, the number of turns and length of solenoid one both doubled. The self inductance of the coil will be

  • A. Halved
  • B. Doubled
  • C. \( \frac{1}{4} \) times the original valu
  • D. Unaffected

Step-by-step solution

The self-inductance of a solenoid is L = μ₀ N² A / l. With A constant, doubling N and l gives L' = μ₀ (2N)² A / (2l) = 2L, so it doubles.
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