AP EAMCET · PHYSICS · Electromagnetic Induction
The self-inductance of a long solenoid of cross-sectional area \(\mathrm{A}\), length \(l\) and \(\mathrm{n}\) turns'per unit length is given by
- A \(\mu_0 n \mathrm{Al}\)
- B \(\mu_0 n^2 \mathrm{Al}\)
- C \(\mu_0 n^2 \mathrm{~A}^2 l\)
- D \(\mu_0 n^2 \pi \mathrm{A}^2 l\)
Answer & Solution
Correct Answer
(B) \(\mu_0 n^2 \mathrm{Al}\)
Step-by-step Solution
Detailed explanation
Magnetic flux, \(\phi_{\mathrm{B}}=\mathrm{B} . \mathrm{A}\) for solenoid, \(\mathrm{B}=\mu_0 \mathrm{n}\) I \[ \phi_{\mathrm{B}}=\mu_0 \mathrm{nIA} \] The total magnetic flux associates with the solenoid…
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