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AP EAMCET · PHYSICS · Electromagnetic Induction

A solenoid has the length \(1 \mathrm{~m}\) and the area of cross-section \(0.02 \mathrm{~m}^2\). If number of turns in the solenoid is \(\mathbf{5 0 0 0}\) then the self inductance of the solenoid is

  1. A \(0.2 \pi\) henry
  2. B \(0.4 \pi\) henry
  3. C \(0.02 \pi\) henry
  4. D \(0.04 \pi\) henry
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.2 \pi\) henry

Step-by-step Solution

Detailed explanation

For a solenoid, coefficient of self induction is given by \(L=\frac{\mu_0 N^2 A}{l}\) Here, Number of turns, \(N=5000\), length., \(l=1 \mathrm{~m}\), Area, \(A=0.02 \mathrm{~m}^2\) Also \(\mu_0=4 \pi \times 10^{-7} \mathrm{Tm} / \mathrm{A}\) So, self inductance of solenoid is…
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