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MHT CET 2026 (15 Apr, Shift 2) · Self-Inductance & Energy

Self-Inductance & Energy question from MHT CET 2026 (15 Apr, Shift 2)

Q15MHT CET 2026 · 15 APR · SHIFT 2Medium

Self-Inductance & Energy

Two solenoids A and B of equal number of turns have their lengths and radii in the same ratio 1:31 : 3. The ratio of the self-inductance of solenoid A to that of B will be

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Answer: (b)

  1. L=μ0N2πr2lL = \dfrac{\mu_0 N^2 \pi r^2}{l}; with equal NN, L∝r2lL \propto \dfrac{r^2}{l}.
  2. LALB=(13)2×31=13\dfrac{L_A}{L_B} = \left(\dfrac{1}{3}\right)^2 \times \dfrac{3}{1} = \dfrac{1}{3}
  3. So the answer is (b) 1:31 : 3.
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