AP EAMCET · PHYSICS · Electromagnetic Induction
The self inductance of an air-cored solenoid of length 40 cm, diameter 7 cm having 200 turns is nearly
- A \(484 \mu \mathrm{H}\)
- B \(242 \mu \mathrm{H}\)
- C \(121 \mu \mathrm{H}\)
- D \(968 \mu \mathrm{H}\)
Answer & Solution
Correct Answer
(A) \(484 \mu \mathrm{H}\)
Step-by-step Solution
Detailed explanation
\(L = \frac{\mu_0 N^2 A}{l} = \frac{\mu_0 N^2 \pi (D/2)^2}{l}\) \(L = \frac{(4\pi \times 10^{-7} \, \mathrm{H/m}) (200)^2 \pi (0.07 \, \mathrm{m}/2)^2}{0.40 \, \mathrm{m}}\) \(L = \frac{4\pi^2 \times 10^{-7} \times 40000 \times (0.035)^2}{0.40}\)…
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