JEE Mains · Physics · STD 12 -6. Electromagnetic induction
The total number of turns and cross-section area in solenoid is fixed. However, its length \(L\) is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to
- A \(1/L\)
- B \(L\)
- C \(1/L^2\)
- D \(L^2\)
Answer & Solution
Correct Answer
(A) \(1/L\)
Step-by-step Solution
Detailed explanation
\(\phi=\mathrm{NBA}=\mathrm{LI}\) \({\mathrm{N}} \mu_{0} \mathrm{n} \mathrm{I} \pi \mathrm{R}^{2}=\mathrm{LI}\) \(\mathrm{N} \mu_{0} \frac{\mathrm{N}}{\ell} \mathrm{I} \pi \mathrm{R}^{2}=\mathrm{LI}\) \(\mathrm{N}\) and \(\mathrm{R}\) constant Self inductance \((L)\)…
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